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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 = -2m -7 + -2m = 153 + 9m + -9m Combine like terms: 9m + -9m = 0 -7 + -2m = 153 + 0 -7 + -2m = 153 Add '7' to each side of the equation. -7 + 7 + -2m = 153 + 7 Combine like terms: -7 + 7 = 0 0 + -2m = 153 + 7 -2m = 153 + 7 Combine like terms: 153 + 7 = 160 -2m = 160 Divide each side by '-2'. m = -80 Simplifying m = -80
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