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Simplifying -4m + 1 + 2m = 8m + -9 Reorder the terms: 1 + -4m + 2m = 8m + -9 Combine like terms: -4m + 2m = -2m 1 + -2m = 8m + -9 Reorder the terms: 1 + -2m = -9 + 8m Solving 1 + -2m = -9 + 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. 1 + -2m + -8m = -9 + 8m + -8m Combine like terms: -2m + -8m = -10m 1 + -10m = -9 + 8m + -8m Combine like terms: 8m + -8m = 0 1 + -10m = -9 + 0 1 + -10m = -9 Add '-1' to each side of the equation. 1 + -1 + -10m = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -10m = -9 + -1 -10m = -9 + -1 Combine like terms: -9 + -1 = -10 -10m = -10 Divide each side by '-10'. m = 1 Simplifying m = 1
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