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Simplifying 3(2m + -3) = 8(m + 1) Reorder the terms: 3(-3 + 2m) = 8(m + 1) (-3 * 3 + 2m * 3) = 8(m + 1) (-9 + 6m) = 8(m + 1) Reorder the terms: -9 + 6m = 8(1 + m) -9 + 6m = (1 * 8 + m * 8) -9 + 6m = (8 + 8m) Solving -9 + 6m = 8 + 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. -9 + 6m + -8m = 8 + 8m + -8m Combine like terms: 6m + -8m = -2m -9 + -2m = 8 + 8m + -8m Combine like terms: 8m + -8m = 0 -9 + -2m = 8 + 0 -9 + -2m = 8 Add '9' to each side of the equation. -9 + 9 + -2m = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -2m = 8 + 9 -2m = 8 + 9 Combine like terms: 8 + 9 = 17 -2m = 17 Divide each side by '-2'. m = -8.5 Simplifying m = -8.5
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