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Simplifying 3(m + 5) = 2(m + 4m + -4) Reorder the terms: 3(5 + m) = 2(m + 4m + -4) (5 * 3 + m * 3) = 2(m + 4m + -4) (15 + 3m) = 2(m + 4m + -4) Reorder the terms: 15 + 3m = 2(-4 + m + 4m) Combine like terms: m + 4m = 5m 15 + 3m = 2(-4 + 5m) 15 + 3m = (-4 * 2 + 5m * 2) 15 + 3m = (-8 + 10m) Solving 15 + 3m = -8 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 15 + 3m + -10m = -8 + 10m + -10m Combine like terms: 3m + -10m = -7m 15 + -7m = -8 + 10m + -10m Combine like terms: 10m + -10m = 0 15 + -7m = -8 + 0 15 + -7m = -8 Add '-15' to each side of the equation. 15 + -15 + -7m = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -7m = -8 + -15 -7m = -8 + -15 Combine like terms: -8 + -15 = -23 -7m = -23 Divide each side by '-7'. m = 3.285714286 Simplifying m = 3.285714286
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