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Simplifying 7(1 + -1m) + -6 = -3m + -3 (1 * 7 + -1m * 7) + -6 = -3m + -3 (7 + -7m) + -6 = -3m + -3 Reorder the terms: 7 + -6 + -7m = -3m + -3 Combine like terms: 7 + -6 = 1 1 + -7m = -3m + -3 Reorder the terms: 1 + -7m = -3 + -3m Solving 1 + -7m = -3 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 1 + -7m + 3m = -3 + -3m + 3m Combine like terms: -7m + 3m = -4m 1 + -4m = -3 + -3m + 3m Combine like terms: -3m + 3m = 0 1 + -4m = -3 + 0 1 + -4m = -3 Add '-1' to each side of the equation. 1 + -1 + -4m = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = -3 + -1 -4m = -3 + -1 Combine like terms: -3 + -1 = -4 -4m = -4 Divide each side by '-4'. m = 1 Simplifying m = 1
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