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Simplifying 9m + -1(6m + -7) = 2(m + -3) Reorder the terms: 9m + -1(-7 + 6m) = 2(m + -3) 9m + (-7 * -1 + 6m * -1) = 2(m + -3) 9m + (7 + -6m) = 2(m + -3) Reorder the terms: 7 + 9m + -6m = 2(m + -3) Combine like terms: 9m + -6m = 3m 7 + 3m = 2(m + -3) Reorder the terms: 7 + 3m = 2(-3 + m) 7 + 3m = (-3 * 2 + m * 2) 7 + 3m = (-6 + 2m) Solving 7 + 3m = -6 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 7 + 3m + -2m = -6 + 2m + -2m Combine like terms: 3m + -2m = 1m 7 + 1m = -6 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + 1m = -6 + 0 7 + 1m = -6 Add '-7' to each side of the equation. 7 + -7 + 1m = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = -6 + -7 1m = -6 + -7 Combine like terms: -6 + -7 = -13 1m = -13 Divide each side by '1'. m = -13 Simplifying m = -13
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