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Simplifying -5(m + 3) = 4(2m + -7) Reorder the terms: -5(3 + m) = 4(2m + -7) (3 * -5 + m * -5) = 4(2m + -7) (-15 + -5m) = 4(2m + -7) Reorder the terms: -15 + -5m = 4(-7 + 2m) -15 + -5m = (-7 * 4 + 2m * 4) -15 + -5m = (-28 + 8m) Solving -15 + -5m = -28 + 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. -15 + -5m + -8m = -28 + 8m + -8m Combine like terms: -5m + -8m = -13m -15 + -13m = -28 + 8m + -8m Combine like terms: 8m + -8m = 0 -15 + -13m = -28 + 0 -15 + -13m = -28 Add '15' to each side of the equation. -15 + 15 + -13m = -28 + 15 Combine like terms: -15 + 15 = 0 0 + -13m = -28 + 15 -13m = -28 + 15 Combine like terms: -28 + 15 = -13 -13m = -13 Divide each side by '-13'. m = 1 Simplifying m = 1
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