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Simplifying 7(4 + 4m) = 38 + 6m (4 * 7 + 4m * 7) = 38 + 6m (28 + 28m) = 38 + 6m Solving 28 + 28m = 38 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 28 + 28m + -6m = 38 + 6m + -6m Combine like terms: 28m + -6m = 22m 28 + 22m = 38 + 6m + -6m Combine like terms: 6m + -6m = 0 28 + 22m = 38 + 0 28 + 22m = 38 Add '-28' to each side of the equation. 28 + -28 + 22m = 38 + -28 Combine like terms: 28 + -28 = 0 0 + 22m = 38 + -28 22m = 38 + -28 Combine like terms: 38 + -28 = 10 22m = 10 Divide each side by '22'. m = 0.4545454545 Simplifying m = 0.4545454545
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