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Simplifying 3(m + -2) = -2(m + -7) Reorder the terms: 3(-2 + m) = -2(m + -7) (-2 * 3 + m * 3) = -2(m + -7) (-6 + 3m) = -2(m + -7) Reorder the terms: -6 + 3m = -2(-7 + m) -6 + 3m = (-7 * -2 + m * -2) -6 + 3m = (14 + -2m) Solving -6 + 3m = 14 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -6 + 3m + 2m = 14 + -2m + 2m Combine like terms: 3m + 2m = 5m -6 + 5m = 14 + -2m + 2m Combine like terms: -2m + 2m = 0 -6 + 5m = 14 + 0 -6 + 5m = 14 Add '6' to each side of the equation. -6 + 6 + 5m = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5m = 14 + 6 5m = 14 + 6 Combine like terms: 14 + 6 = 20 5m = 20 Divide each side by '5'. m = 4 Simplifying m = 4
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