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Simplifying 2(m + -3) + -2 = 3(m + -5) Reorder the terms: 2(-3 + m) + -2 = 3(m + -5) (-3 * 2 + m * 2) + -2 = 3(m + -5) (-6 + 2m) + -2 = 3(m + -5) Reorder the terms: -6 + -2 + 2m = 3(m + -5) Combine like terms: -6 + -2 = -8 -8 + 2m = 3(m + -5) Reorder the terms: -8 + 2m = 3(-5 + m) -8 + 2m = (-5 * 3 + m * 3) -8 + 2m = (-15 + 3m) Solving -8 + 2m = -15 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -8 + 2m + -3m = -15 + 3m + -3m Combine like terms: 2m + -3m = -1m -8 + -1m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 -8 + -1m = -15 + 0 -8 + -1m = -15 Add '8' to each side of the equation. -8 + 8 + -1m = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = -15 + 8 -1m = -15 + 8 Combine like terms: -15 + 8 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7
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