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Simplifying 3[7m + -1(6m + 6) + 7] = 6m + 5 Reorder the terms: 3[7m + -1(6 + 6m) + 7] = 6m + 5 3[7m + (6 * -1 + 6m * -1) + 7] = 6m + 5 3[7m + (-6 + -6m) + 7] = 6m + 5 Reorder the terms: 3[-6 + 7 + 7m + -6m] = 6m + 5 Combine like terms: -6 + 7 = 1 3[1 + 7m + -6m] = 6m + 5 Combine like terms: 7m + -6m = 1m 3[1 + 1m] = 6m + 5 [1 * 3 + 1m * 3] = 6m + 5 [3 + 3m] = 6m + 5 Reorder the terms: 3 + 3m = 5 + 6m Solving 3 + 3m = 5 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 3 + 3m + -6m = 5 + 6m + -6m Combine like terms: 3m + -6m = -3m 3 + -3m = 5 + 6m + -6m Combine like terms: 6m + -6m = 0 3 + -3m = 5 + 0 3 + -3m = 5 Add '-3' to each side of the equation. 3 + -3 + -3m = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -3m = 5 + -3 -3m = 5 + -3 Combine like terms: 5 + -3 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667
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