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Simplifying 1 + -1(m + 3) = 6(2m + -3) Reorder the terms: 1 + -1(3 + m) = 6(2m + -3) 1 + (3 * -1 + m * -1) = 6(2m + -3) 1 + (-3 + -1m) = 6(2m + -3) Combine like terms: 1 + -3 = -2 -2 + -1m = 6(2m + -3) Reorder the terms: -2 + -1m = 6(-3 + 2m) -2 + -1m = (-3 * 6 + 2m * 6) -2 + -1m = (-18 + 12m) Solving -2 + -1m = -18 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -2 + -1m + -12m = -18 + 12m + -12m Combine like terms: -1m + -12m = -13m -2 + -13m = -18 + 12m + -12m Combine like terms: 12m + -12m = 0 -2 + -13m = -18 + 0 -2 + -13m = -18 Add '2' to each side of the equation. -2 + 2 + -13m = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -13m = -18 + 2 -13m = -18 + 2 Combine like terms: -18 + 2 = -16 -13m = -16 Divide each side by '-13'. m = 1.230769231 Simplifying m = 1.230769231
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