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Simplifying 7(2m + 4) = 7(9 + -3m) Reorder the terms: 7(4 + 2m) = 7(9 + -3m) (4 * 7 + 2m * 7) = 7(9 + -3m) (28 + 14m) = 7(9 + -3m) 28 + 14m = (9 * 7 + -3m * 7) 28 + 14m = (63 + -21m) Solving 28 + 14m = 63 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. 28 + 14m + 21m = 63 + -21m + 21m Combine like terms: 14m + 21m = 35m 28 + 35m = 63 + -21m + 21m Combine like terms: -21m + 21m = 0 28 + 35m = 63 + 0 28 + 35m = 63 Add '-28' to each side of the equation. 28 + -28 + 35m = 63 + -28 Combine like terms: 28 + -28 = 0 0 + 35m = 63 + -28 35m = 63 + -28 Combine like terms: 63 + -28 = 35 35m = 35 Divide each side by '35'. m = 1 Simplifying m = 1
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