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Simplifying -3(1 + 5m) + -4(m + -3) = 47 (1 * -3 + 5m * -3) + -4(m + -3) = 47 (-3 + -15m) + -4(m + -3) = 47 Reorder the terms: -3 + -15m + -4(-3 + m) = 47 -3 + -15m + (-3 * -4 + m * -4) = 47 -3 + -15m + (12 + -4m) = 47 Reorder the terms: -3 + 12 + -15m + -4m = 47 Combine like terms: -3 + 12 = 9 9 + -15m + -4m = 47 Combine like terms: -15m + -4m = -19m 9 + -19m = 47 Solving 9 + -19m = 47 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -19m = 47 + -9 Combine like terms: 9 + -9 = 0 0 + -19m = 47 + -9 -19m = 47 + -9 Combine like terms: 47 + -9 = 38 -19m = 38 Divide each side by '-19'. m = -2 Simplifying m = -2
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