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Simplifying 3(2m + -3) + -1(4m + 9) = -8 + -2(3m + -7) Reorder the terms: 3(-3 + 2m) + -1(4m + 9) = -8 + -2(3m + -7) (-3 * 3 + 2m * 3) + -1(4m + 9) = -8 + -2(3m + -7) (-9 + 6m) + -1(4m + 9) = -8 + -2(3m + -7) Reorder the terms: -9 + 6m + -1(9 + 4m) = -8 + -2(3m + -7) -9 + 6m + (9 * -1 + 4m * -1) = -8 + -2(3m + -7) -9 + 6m + (-9 + -4m) = -8 + -2(3m + -7) Reorder the terms: -9 + -9 + 6m + -4m = -8 + -2(3m + -7) Combine like terms: -9 + -9 = -18 -18 + 6m + -4m = -8 + -2(3m + -7) Combine like terms: 6m + -4m = 2m -18 + 2m = -8 + -2(3m + -7) Reorder the terms: -18 + 2m = -8 + -2(-7 + 3m) -18 + 2m = -8 + (-7 * -2 + 3m * -2) -18 + 2m = -8 + (14 + -6m) Combine like terms: -8 + 14 = 6 -18 + 2m = 6 + -6m Solving -18 + 2m = 6 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -18 + 2m + 6m = 6 + -6m + 6m Combine like terms: 2m + 6m = 8m -18 + 8m = 6 + -6m + 6m Combine like terms: -6m + 6m = 0 -18 + 8m = 6 + 0 -18 + 8m = 6 Add '18' to each side of the equation. -18 + 18 + 8m = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 8m = 6 + 18 8m = 6 + 18 Combine like terms: 6 + 18 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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