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Simplifying 4(7 + m) = 2(3 + -2m) (7 * 4 + m * 4) = 2(3 + -2m) (28 + 4m) = 2(3 + -2m) 28 + 4m = (3 * 2 + -2m * 2) 28 + 4m = (6 + -4m) Solving 28 + 4m = 6 + -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. 28 + 4m + 4m = 6 + -4m + 4m Combine like terms: 4m + 4m = 8m 28 + 8m = 6 + -4m + 4m Combine like terms: -4m + 4m = 0 28 + 8m = 6 + 0 28 + 8m = 6 Add '-28' to each side of the equation. 28 + -28 + 8m = 6 + -28 Combine like terms: 28 + -28 = 0 0 + 8m = 6 + -28 8m = 6 + -28 Combine like terms: 6 + -28 = -22 8m = -22 Divide each side by '8'. m = -2.75 Simplifying m = -2.75
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