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Simplifying 3(2m + 5) = 4(m + -3) Reorder the terms: 3(5 + 2m) = 4(m + -3) (5 * 3 + 2m * 3) = 4(m + -3) (15 + 6m) = 4(m + -3) Reorder the terms: 15 + 6m = 4(-3 + m) 15 + 6m = (-3 * 4 + m * 4) 15 + 6m = (-12 + 4m) Solving 15 + 6m = -12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 15 + 6m + -4m = -12 + 4m + -4m Combine like terms: 6m + -4m = 2m 15 + 2m = -12 + 4m + -4m Combine like terms: 4m + -4m = 0 15 + 2m = -12 + 0 15 + 2m = -12 Add '-15' to each side of the equation. 15 + -15 + 2m = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 2m = -12 + -15 2m = -12 + -15 Combine like terms: -12 + -15 = -27 2m = -27 Divide each side by '2'. m = -13.5 Simplifying m = -13.5
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