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Q: How do you solve 3w plus 4 equals 24?

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7w + 2 = 3w + 94 Subtract 3w from both sides: 4w + 2 = 94 Subtract 2 from both sides: 4w = 92 Divide both sides by 4: w = 23

15x+12y+22+3w-2y+3x+14-12+3w original = 15x+3x+12y-2y+3w+3w+22+14-12 group = 18x+10y+6w+24 answer

3w - 2 = 2w + 3 Add 2 to both sides: 3w = 2w + 5 Subtract 2w from both sides: w = 5

102

3w -6 = -15 3w = -15+6 3w = -9 w = -3

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You can't solve it - you only have one equation and two unknowns. You need 2 equations to solve this.

This is an example of the "commutative" property.

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7w + 2 = 3w + 94 Subtract 3w from both sides: 4w + 2 = 94 Subtract 2 from both sides: 4w = 92 Divide both sides by 4: w = 23

15x+12y+22+3w-2y+3x+14-12+3w original = 15x+3x+12y-2y+3w+3w+22+14-12 group = 18x+10y+6w+24 answer

7W + 4 - 3W = 15gather the w's together4W + 4 = 15subtract 4 from each side4W = 11divide each sides integers by 4W = 11/4================checks

3w - 2 = 2w + 3 Add 2 to both sides: 3w = 2w + 5 Subtract 2w from both sides: w = 5

3w^2 - 8w + 4 = (3w -2) (w-2) So 3w-2=0, then 3w=2, so w=2/3, w-2=0, so w=2. Your solutions are w=2/3 and w=2.

Factor it. If that's -8w, it factors to (w - 2)(3w - 2) w = 2, 2/3 If that's +8w, it factors to (w + 2)(3w + 2) w = -2, -2/3

102

If: 3w = 42 Then: w = 14

7+3w-13x

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