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Simplifying 4(m + 7) = -6m + 58 Reorder the terms: 4(7 + m) = -6m + 58 (7 * 4 + m * 4) = -6m + 58 (28 + 4m) = -6m + 58 Reorder the terms: 28 + 4m = 58 + -6m Solving 28 + 4m = 58 + -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 + 4m + 6m = 58 + -6m + 6m Combine like terms: 4m + 6m = 10m 28 + 10m = 58 + -6m + 6m Combine like terms: -6m + 6m = 0 28 + 10m = 58 + 0 28 + 10m = 58 Add '-28' to each side of the equation. 28 + -28 + 10m = 58 + -28 Combine like terms: 28 + -28 = 0 0 + 10m = 58 + -28 10m = 58 + -28 Combine like terms: 58 + -28 = 30 10m = 30 Divide each side by '10'. m = 3 Simplifying m = 3
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