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Simplifying 7m + 36 = 3m + -1(6m + -6) Reorder the terms: 36 + 7m = 3m + -1(6m + -6) Reorder the terms: 36 + 7m = 3m + -1(-6 + 6m) 36 + 7m = 3m + (-6 * -1 + 6m * -1) 36 + 7m = 3m + (6 + -6m) Reorder the terms: 36 + 7m = 6 + 3m + -6m Combine like terms: 3m + -6m = -3m 36 + 7m = 6 + -3m Solving 36 + 7m = 6 + -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. 36 + 7m + 3m = 6 + -3m + 3m Combine like terms: 7m + 3m = 10m 36 + 10m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 36 + 10m = 6 + 0 36 + 10m = 6 Add '-36' to each side of the equation. 36 + -36 + 10m = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 10m = 6 + -36 10m = 6 + -36 Combine like terms: 6 + -36 = -30 10m = -30 Divide each side by '10'. m = -3 Simplifying m = -3
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