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Q: What is 7s plus 8t plus 10s plus 12t?

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12(t+6)+8=4(2t-1)+2t 12t+72+8=8t-4+2t 12t-2t-8t=-72-8-4 2t=-84 2t/2=84/2 t=42

shorter chain

12 (t -6) + 8 4 (2t - 1)Distribute: 12t-72+8 8t-4Combine like terms: 12+-64 8tSubtract 12t from each side: -64 -4tMultiply each side by -1: 64 4tDivide each side by 4: 16 tSo t = 16

15t = 17 + 8t -24 15t - 8t = 17 - 24 7t = -7 t = -1

-3t3 + 23t2 + 8t = -t(3t2 - 23t - 8) = -t(3t + 1)(t - 8)

t=-2

5

7t + 2

8t + 32

You combine like terms.

8t + 5 = 6t + 1,subtract 6t an 5 from each side,2t = -4t = -2Checking, 8t + 5 = -16 + 5 = -11 and 6t +1 = -12 + 1 = -11

Yes, a linear equation in t.

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