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Simplifying -1(9 + 4m) + -9 = 2(1 + -4m) (9 * -1 + 4m * -1) + -9 = 2(1 + -4m) (-9 + -4m) + -9 = 2(1 + -4m) Reorder the terms: -9 + -9 + -4m = 2(1 + -4m) Combine like terms: -9 + -9 = -18 -18 + -4m = 2(1 + -4m) -18 + -4m = (1 * 2 + -4m * 2) -18 + -4m = (2 + -8m) Solving -18 + -4m = 2 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -18 + -4m + 8m = 2 + -8m + 8m Combine like terms: -4m + 8m = 4m -18 + 4m = 2 + -8m + 8m Combine like terms: -8m + 8m = 0 -18 + 4m = 2 + 0 -18 + 4m = 2 Add '18' to each side of the equation. -18 + 18 + 4m = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 4m = 2 + 18 4m = 2 + 18 Combine like terms: 2 + 18 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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