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Simplifying 8m + -12 = -42 + 2m Reorder the terms: -12 + 8m = -42 + 2m Solving -12 + 8m = -42 + 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. -12 + 8m + -2m = -42 + 2m + -2m Combine like terms: 8m + -2m = 6m -12 + 6m = -42 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + 6m = -42 + 0 -12 + 6m = -42 Add '12' to each side of the equation. -12 + 12 + 6m = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 6m = -42 + 12 6m = -42 + 12 Combine like terms: -42 + 12 = -30 6m = -30 Divide each side by '6'. m = -5 Simplifying m = -5
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