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Simplifying 3(m + -2) + 5 = 8 + -2(m + -4) Reorder the terms: 3(-2 + m) + 5 = 8 + -2(m + -4) (-2 * 3 + m * 3) + 5 = 8 + -2(m + -4) (-6 + 3m) + 5 = 8 + -2(m + -4) Reorder the terms: -6 + 5 + 3m = 8 + -2(m + -4) Combine like terms: -6 + 5 = -1 -1 + 3m = 8 + -2(m + -4) Reorder the terms: -1 + 3m = 8 + -2(-4 + m) -1 + 3m = 8 + (-4 * -2 + m * -2) -1 + 3m = 8 + (8 + -2m) Combine like terms: 8 + 8 = 16 -1 + 3m = 16 + -2m Solving -1 + 3m = 16 + -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. -1 + 3m + 2m = 16 + -2m + 2m Combine like terms: 3m + 2m = 5m -1 + 5m = 16 + -2m + 2m Combine like terms: -2m + 2m = 0 -1 + 5m = 16 + 0 -1 + 5m = 16 Add '1' to each side of the equation. -1 + 1 + 5m = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 5m = 16 + 1 5m = 16 + 1 Combine like terms: 16 + 1 = 17 5m = 17 Divide each side by '5'. m = 3.4 Simplifying m = 3.4
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