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Simplifying 8m + -7m + 5 = -8 + -2(m + 12) Reorder the terms: 5 + 8m + -7m = -8 + -2(m + 12) Combine like terms: 8m + -7m = 1m 5 + 1m = -8 + -2(m + 12) Reorder the terms: 5 + 1m = -8 + -2(12 + m) 5 + 1m = -8 + (12 * -2 + m * -2) 5 + 1m = -8 + (-24 + -2m) Combine like terms: -8 + -24 = -32 5 + 1m = -32 + -2m Solving 5 + 1m = -32 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 5 + 1m + 2m = -32 + -2m + 2m Combine like terms: 1m + 2m = 3m 5 + 3m = -32 + -2m + 2m Combine like terms: -2m + 2m = 0 5 + 3m = -32 + 0 5 + 3m = -32 Add '-5' to each side of the equation. 5 + -5 + 3m = -32 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = -32 + -5 3m = -32 + -5 Combine like terms: -32 + -5 = -37 3m = -37 Divide each side by '3'. m = -12.33333333 Simplifying m = -12.33333333
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