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Simplifying 5(3m + -2) + -1(m + -3) = 13 + -4(-4m + 5) Reorder the terms: 5(-2 + 3m) + -1(m + -3) = 13 + -4(-4m + 5) (-2 * 5 + 3m * 5) + -1(m + -3) = 13 + -4(-4m + 5) (-10 + 15m) + -1(m + -3) = 13 + -4(-4m + 5) Reorder the terms: -10 + 15m + -1(-3 + m) = 13 + -4(-4m + 5) -10 + 15m + (-3 * -1 + m * -1) = 13 + -4(-4m + 5) -10 + 15m + (3 + -1m) = 13 + -4(-4m + 5) Reorder the terms: -10 + 3 + 15m + -1m = 13 + -4(-4m + 5) Combine like terms: -10 + 3 = -7 -7 + 15m + -1m = 13 + -4(-4m + 5) Combine like terms: 15m + -1m = 14m -7 + 14m = 13 + -4(-4m + 5) Reorder the terms: -7 + 14m = 13 + -4(5 + -4m) -7 + 14m = 13 + (5 * -4 + -4m * -4) -7 + 14m = 13 + (-20 + 16m) Combine like terms: 13 + -20 = -7 -7 + 14m = -7 + 16m Add '7' to each side of the equation. -7 + 7 + 14m = -7 + 7 + 16m Combine like terms: -7 + 7 = 0 0 + 14m = -7 + 7 + 16m 14m = -7 + 7 + 16m Combine like terms: -7 + 7 = 0 14m = 0 + 16m 14m = 16m Solving 14m = 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 14m + -16m = 16m + -16m Combine like terms: 14m + -16m = -2m -2m = 16m + -16m Combine like terms: 16m + -16m = 0 -2m = 0 Divide each side by '-2'. m = 0 Simplifying m = 0
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