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