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Simplifying 6m + 4(m + 8) = 8 + 7m Reorder the terms: 6m + 4(8 + m) = 8 + 7m 6m + (8 * 4 + m * 4) = 8 + 7m 6m + (32 + 4m) = 8 + 7m Reorder the terms: 32 + 6m + 4m = 8 + 7m Combine like terms: 6m + 4m = 10m 32 + 10m = 8 + 7m Solving 32 + 10m = 8 + 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. 32 + 10m + -7m = 8 + 7m + -7m Combine like terms: 10m + -7m = 3m 32 + 3m = 8 + 7m + -7m Combine like terms: 7m + -7m = 0 32 + 3m = 8 + 0 32 + 3m = 8 Add '-32' to each side of the equation. 32 + -32 + 3m = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 3m = 8 + -32 3m = 8 + -32 Combine like terms: 8 + -32 = -24 3m = -24 Divide each side by '3'. m = -8 Simplifying m = -8
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