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Simplifying 6m + 3(m + 2) = -1(2m + 7) + -1m Reorder the terms: 6m + 3(2 + m) = -1(2m + 7) + -1m 6m + (2 * 3 + m * 3) = -1(2m + 7) + -1m 6m + (6 + 3m) = -1(2m + 7) + -1m Reorder the terms: 6 + 6m + 3m = -1(2m + 7) + -1m Combine like terms: 6m + 3m = 9m 6 + 9m = -1(2m + 7) + -1m Reorder the terms: 6 + 9m = -1(7 + 2m) + -1m 6 + 9m = (7 * -1 + 2m * -1) + -1m 6 + 9m = (-7 + -2m) + -1m Combine like terms: -2m + -1m = -3m 6 + 9m = -7 + -3m Solving 6 + 9m = -7 + -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. 6 + 9m + 3m = -7 + -3m + 3m Combine like terms: 9m + 3m = 12m 6 + 12m = -7 + -3m + 3m Combine like terms: -3m + 3m = 0 6 + 12m = -7 + 0 6 + 12m = -7 Add '-6' to each side of the equation. 6 + -6 + 12m = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 12m = -7 + -6 12m = -7 + -6 Combine like terms: -7 + -6 = -13 12m = -13 Divide each side by '12'. m = -1.083333333 Simplifying m = -1.083333333
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