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Simplifying -7m + -7 + -2(m + -1) = 4m + -1(9m + -3) + -6m + 6 Reorder the terms: -7m + -7 + -2(-1 + m) = 4m + -1(9m + -3) + -6m + 6 -7m + -7 + (-1 * -2 + m * -2) = 4m + -1(9m + -3) + -6m + 6 -7m + -7 + (2 + -2m) = 4m + -1(9m + -3) + -6m + 6 Reorder the terms: -7 + 2 + -7m + -2m = 4m + -1(9m + -3) + -6m + 6 Combine like terms: -7 + 2 = -5 -5 + -7m + -2m = 4m + -1(9m + -3) + -6m + 6 Combine like terms: -7m + -2m = -9m -5 + -9m = 4m + -1(9m + -3) + -6m + 6 Reorder the terms: -5 + -9m = 4m + -1(-3 + 9m) + -6m + 6 -5 + -9m = 4m + (-3 * -1 + 9m * -1) + -6m + 6 -5 + -9m = 4m + (3 + -9m) + -6m + 6 Reorder the terms: -5 + -9m = 3 + 6 + 4m + -9m + -6m Combine like terms: 3 + 6 = 9 -5 + -9m = 9 + 4m + -9m + -6m Combine like terms: 4m + -9m = -5m -5 + -9m = 9 + -5m + -6m Combine like terms: -5m + -6m = -11m -5 + -9m = 9 + -11m Solving -5 + -9m = 9 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. -5 + -9m + 11m = 9 + -11m + 11m Combine like terms: -9m + 11m = 2m -5 + 2m = 9 + -11m + 11m Combine like terms: -11m + 11m = 0 -5 + 2m = 9 + 0 -5 + 2m = 9 Add '5' to each side of the equation. -5 + 5 + 2m = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2m = 9 + 5 2m = 9 + 5 Combine like terms: 9 + 5 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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