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Simplifying 4m + 6(m + 8) = 7(m + 7) + 5 Reorder the terms: 4m + 6(8 + m) = 7(m + 7) + 5 4m + (8 * 6 + m * 6) = 7(m + 7) + 5 4m + (48 + 6m) = 7(m + 7) + 5 Reorder the terms: 48 + 4m + 6m = 7(m + 7) + 5 Combine like terms: 4m + 6m = 10m 48 + 10m = 7(m + 7) + 5 Reorder the terms: 48 + 10m = 7(7 + m) + 5 48 + 10m = (7 * 7 + m * 7) + 5 48 + 10m = (49 + 7m) + 5 Reorder the terms: 48 + 10m = 49 + 5 + 7m Combine like terms: 49 + 5 = 54 48 + 10m = 54 + 7m Solving 48 + 10m = 54 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 48 + 10m + -7m = 54 + 7m + -7m Combine like terms: 10m + -7m = 3m 48 + 3m = 54 + 7m + -7m Combine like terms: 7m + -7m = 0 48 + 3m = 54 + 0 48 + 3m = 54 Add '-48' to each side of the equation. 48 + -48 + 3m = 54 + -48 Combine like terms: 48 + -48 = 0 0 + 3m = 54 + -48 3m = 54 + -48 Combine like terms: 54 + -48 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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