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Simplifying 3(m + -2) + -5 = 8 + 4(m + -4) Reorder the terms: 3(-2 + m) + -5 = 8 + 4(m + -4) (-2 * 3 + m * 3) + -5 = 8 + 4(m + -4) (-6 + 3m) + -5 = 8 + 4(m + -4) Reorder the terms: -6 + -5 + 3m = 8 + 4(m + -4) Combine like terms: -6 + -5 = -11 -11 + 3m = 8 + 4(m + -4) Reorder the terms: -11 + 3m = 8 + 4(-4 + m) -11 + 3m = 8 + (-4 * 4 + m * 4) -11 + 3m = 8 + (-16 + 4m) Combine like terms: 8 + -16 = -8 -11 + 3m = -8 + 4m Solving -11 + 3m = -8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -11 + 3m + -4m = -8 + 4m + -4m Combine like terms: 3m + -4m = -1m -11 + -1m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 -11 + -1m = -8 + 0 -11 + -1m = -8 Add '11' to each side of the equation. -11 + 11 + -1m = -8 + 11 Combine like terms: -11 + 11 = 0 0 + -1m = -8 + 11 -1m = -8 + 11 Combine like terms: -8 + 11 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3
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