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Simplifying -8(m + 7) + -9(m + 15) = -14m + -4 + 14m Reorder the terms: -8(7 + m) + -9(m + 15) = -14m + -4 + 14m (7 * -8 + m * -8) + -9(m + 15) = -14m + -4 + 14m (-56 + -8m) + -9(m + 15) = -14m + -4 + 14m Reorder the terms: -56 + -8m + -9(15 + m) = -14m + -4 + 14m -56 + -8m + (15 * -9 + m * -9) = -14m + -4 + 14m -56 + -8m + (-135 + -9m) = -14m + -4 + 14m Reorder the terms: -56 + -135 + -8m + -9m = -14m + -4 + 14m Combine like terms: -56 + -135 = -191 -191 + -8m + -9m = -14m + -4 + 14m Combine like terms: -8m + -9m = -17m -191 + -17m = -14m + -4 + 14m Reorder the terms: -191 + -17m = -4 + -14m + 14m Combine like terms: -14m + 14m = 0 -191 + -17m = -4 + 0 -191 + -17m = -4 Solving -191 + -17m = -4 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '191' to each side of the equation. -191 + 191 + -17m = -4 + 191 Combine like terms: -191 + 191 = 0 0 + -17m = -4 + 191 -17m = -4 + 191 Combine like terms: -4 + 191 = 187 -17m = 187 Divide each side by '-17'. m = -11 Simplifying m = -11
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