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Simplifying 4(m + 1) = 2m + -6 Reorder the terms: 4(1 + m) = 2m + -6 (1 * 4 + m * 4) = 2m + -6 (4 + 4m) = 2m + -6 Reorder the terms: 4 + 4m = -6 + 2m Solving 4 + 4m = -6 + 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. 4 + 4m + -2m = -6 + 2m + -2m Combine like terms: 4m + -2m = 2m 4 + 2m = -6 + 2m + -2m Combine like terms: 2m + -2m = 0 4 + 2m = -6 + 0 4 + 2m = -6 Add '-4' to each side of the equation. 4 + -4 + 2m = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2m = -6 + -4 2m = -6 + -4 Combine like terms: -6 + -4 = -10 2m = -10 Divide each side by '2'. m = -5 Simplifying m = -5
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