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