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Simplifying 6m + 53 = m(6 + 3) + 38 Reorder the terms: 53 + 6m = m(6 + 3) + 38 Combine like terms: 6 + 3 = 9 53 + 6m = m(9) + 38 Reorder the terms for easier multiplication: 53 + 6m = 9m + 38 Reorder the terms: 53 + 6m = 38 + 9m Solving 53 + 6m = 38 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 53 + 6m + -9m = 38 + 9m + -9m Combine like terms: 6m + -9m = -3m 53 + -3m = 38 + 9m + -9m Combine like terms: 9m + -9m = 0 53 + -3m = 38 + 0 53 + -3m = 38 Add '-53' to each side of the equation. 53 + -53 + -3m = 38 + -53 Combine like terms: 53 + -53 = 0 0 + -3m = 38 + -53 -3m = 38 + -53 Combine like terms: 38 + -53 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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