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Simplifying 5m + 32 = 5 + 8(m + 6) Reorder the terms: 32 + 5m = 5 + 8(m + 6) Reorder the terms: 32 + 5m = 5 + 8(6 + m) 32 + 5m = 5 + (6 * 8 + m * 8) 32 + 5m = 5 + (48 + 8m) Combine like terms: 5 + 48 = 53 32 + 5m = 53 + 8m Solving 32 + 5m = 53 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 32 + 5m + -8m = 53 + 8m + -8m Combine like terms: 5m + -8m = -3m 32 + -3m = 53 + 8m + -8m Combine like terms: 8m + -8m = 0 32 + -3m = 53 + 0 32 + -3m = 53 Add '-32' to each side of the equation. 32 + -32 + -3m = 53 + -32 Combine like terms: 32 + -32 = 0 0 + -3m = 53 + -32 -3m = 53 + -32 Combine like terms: 53 + -32 = 21 -3m = 21 Divide each side by '-3'. m = -7 Simplifying m = -7
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