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The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
W is negative 6 (-6). The algebraic equation is 9w = -54 Divide both sides by 9 w = -6
If two sides of an inequality are multiplied (or divided) by a negative number, you have to invert the sign. For example, a "less-than" sign becomes a "greater-than" sign.
You can divide both sides of an equation by any non-zero number and not affect its validity.