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Simplifying 5m + -1(2m + 3) = 5m + 3(m + -4) Reorder the terms: 5m + -1(3 + 2m) = 5m + 3(m + -4) 5m + (3 * -1 + 2m * -1) = 5m + 3(m + -4) 5m + (-3 + -2m) = 5m + 3(m + -4) Reorder the terms: -3 + 5m + -2m = 5m + 3(m + -4) Combine like terms: 5m + -2m = 3m -3 + 3m = 5m + 3(m + -4) Reorder the terms: -3 + 3m = 5m + 3(-4 + m) -3 + 3m = 5m + (-4 * 3 + m * 3) -3 + 3m = 5m + (-12 + 3m) Reorder the terms: -3 + 3m = -12 + 5m + 3m Combine like terms: 5m + 3m = 8m -3 + 3m = -12 + 8m Solving -3 + 3m = -12 + 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. -3 + 3m + -8m = -12 + 8m + -8m Combine like terms: 3m + -8m = -5m -3 + -5m = -12 + 8m + -8m Combine like terms: 8m + -8m = 0 -3 + -5m = -12 + 0 -3 + -5m = -12 Add '3' to each side of the equation. -3 + 3 + -5m = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -5m = -12 + 3 -5m = -12 + 3 Combine like terms: -12 + 3 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8
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