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Simplifying -12 + 8m + -6 + 1 = 1 + 5m + 6 Reorder the terms: -12 + -6 + 1 + 8m = 1 + 5m + 6 Combine like terms: -12 + -6 = -18 -18 + 1 + 8m = 1 + 5m + 6 Combine like terms: -18 + 1 = -17 -17 + 8m = 1 + 5m + 6 Reorder the terms: -17 + 8m = 1 + 6 + 5m Combine like terms: 1 + 6 = 7 -17 + 8m = 7 + 5m Solving -17 + 8m = 7 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -17 + 8m + -5m = 7 + 5m + -5m Combine like terms: 8m + -5m = 3m -17 + 3m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 -17 + 3m = 7 + 0 -17 + 3m = 7 Add '17' to each side of the equation. -17 + 17 + 3m = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 3m = 7 + 17 3m = 7 + 17 Combine like terms: 7 + 17 = 24 3m = 24 Divide each side by '3'. m = 8 Simplifying m = 8
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