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Simplifying 4(6m + 7) = 5(4m + 6) + m + -3 Reorder the terms: 4(7 + 6m) = 5(4m + 6) + m + -3 (7 * 4 + 6m * 4) = 5(4m + 6) + m + -3 (28 + 24m) = 5(4m + 6) + m + -3 Reorder the terms: 28 + 24m = 5(6 + 4m) + m + -3 28 + 24m = (6 * 5 + 4m * 5) + m + -3 28 + 24m = (30 + 20m) + m + -3 Reorder the terms: 28 + 24m = 30 + -3 + 20m + m Combine like terms: 30 + -3 = 27 28 + 24m = 27 + 20m + m Combine like terms: 20m + m = 21m 28 + 24m = 27 + 21m Solving 28 + 24m = 27 + 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 + 24m + -21m = 27 + 21m + -21m Combine like terms: 24m + -21m = 3m 28 + 3m = 27 + 21m + -21m Combine like terms: 21m + -21m = 0 28 + 3m = 27 + 0 28 + 3m = 27 Add '-28' to each side of the equation. 28 + -28 + 3m = 27 + -28 Combine like terms: 28 + -28 = 0 0 + 3m = 27 + -28 3m = 27 + -28 Combine like terms: 27 + -28 = -1 3m = -1 Divide each side by '3'. m = -0.3333333333 Simplifying m = -0.3333333333
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