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Simplifying -7(m + -1) = 9(m + 17) Reorder the terms: -7(-1 + m) = 9(m + 17) (-1 * -7 + m * -7) = 9(m + 17) (7 + -7m) = 9(m + 17) Reorder the terms: 7 + -7m = 9(17 + m) 7 + -7m = (17 * 9 + m * 9) 7 + -7m = (153 + 9m) Solving 7 + -7m = 153 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 7 + -7m + -9m = 153 + 9m + -9m Combine like terms: -7m + -9m = -16m 7 + -16m = 153 + 9m + -9m Combine like terms: 9m + -9m = 0 7 + -16m = 153 + 0 7 + -16m = 153 Add '-7' to each side of the equation. 7 + -7 + -16m = 153 + -7 Combine like terms: 7 + -7 = 0 0 + -16m = 153 + -7 -16m = 153 + -7 Combine like terms: 153 + -7 = 146 -16m = 146 Divide each side by '-16'. m = -9.125 Simplifying m = -9.125
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