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Simplifying -12 + 8m + -6 + 1 = 1 + 5m + 6m Reorder the terms: -12 + -6 + 1 + 8m = 1 + 5m + 6m Combine like terms: -12 + -6 = -18 -18 + 1 + 8m = 1 + 5m + 6m Combine like terms: -18 + 1 = -17 -17 + 8m = 1 + 5m + 6m Combine like terms: 5m + 6m = 11m -17 + 8m = 1 + 11m Solving -17 + 8m = 1 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -17 + 8m + -11m = 1 + 11m + -11m Combine like terms: 8m + -11m = -3m -17 + -3m = 1 + 11m + -11m Combine like terms: 11m + -11m = 0 -17 + -3m = 1 + 0 -17 + -3m = 1 Add '17' to each side of the equation. -17 + 17 + -3m = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -3m = 1 + 17 -3m = 1 + 17 Combine like terms: 1 + 17 = 18 -3m = 18 Divide each side by '-3'. m = -6 Simplifying m = -6
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