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Simplifying -2(9m + 6) + 10 = -8(7 + 9m) Reorder the terms: -2(6 + 9m) + 10 = -8(7 + 9m) (6 * -2 + 9m * -2) + 10 = -8(7 + 9m) (-12 + -18m) + 10 = -8(7 + 9m) Reorder the terms: -12 + 10 + -18m = -8(7 + 9m) Combine like terms: -12 + 10 = -2 -2 + -18m = -8(7 + 9m) -2 + -18m = (7 * -8 + 9m * -8) -2 + -18m = (-56 + -72m) Solving -2 + -18m = -56 + -72m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '72m' to each side of the equation. -2 + -18m + 72m = -56 + -72m + 72m Combine like terms: -18m + 72m = 54m -2 + 54m = -56 + -72m + 72m Combine like terms: -72m + 72m = 0 -2 + 54m = -56 + 0 -2 + 54m = -56 Add '2' to each side of the equation. -2 + 2 + 54m = -56 + 2 Combine like terms: -2 + 2 = 0 0 + 54m = -56 + 2 54m = -56 + 2 Combine like terms: -56 + 2 = -54 54m = -54 Divide each side by '54'. m = -1 Simplifying m = -1
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