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Simplifying 7(3m + 4) = 5(2m + 22) Reorder the terms: 7(4 + 3m) = 5(2m + 22) (4 * 7 + 3m * 7) = 5(2m + 22) (28 + 21m) = 5(2m + 22) Reorder the terms: 28 + 21m = 5(22 + 2m) 28 + 21m = (22 * 5 + 2m * 5) 28 + 21m = (110 + 10m) Solving 28 + 21m = 110 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 28 + 21m + -10m = 110 + 10m + -10m Combine like terms: 21m + -10m = 11m 28 + 11m = 110 + 10m + -10m Combine like terms: 10m + -10m = 0 28 + 11m = 110 + 0 28 + 11m = 110 Add '-28' to each side of the equation. 28 + -28 + 11m = 110 + -28 Combine like terms: 28 + -28 = 0 0 + 11m = 110 + -28 11m = 110 + -28 Combine like terms: 110 + -28 = 82 11m = 82 Divide each side by '11'. m = 7.454545455 Simplifying m = 7.454545455
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