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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 = 1m -6 + 1m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 -6 + 1m = -14 + 0 -6 + 1m = -14 Add '6' to each side of the equation. -6 + 6 + 1m = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 1m = -14 + 6 1m = -14 + 6 Combine like terms: -14 + 6 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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