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Simplifying -4m + -9 + -3(m + -1) = 6m + -1(9m + -1) + -8m + 5 Reorder the terms: -4m + -9 + -3(-1 + m) = 6m + -1(9m + -1) + -8m + 5 -4m + -9 + (-1 * -3 + m * -3) = 6m + -1(9m + -1) + -8m + 5 -4m + -9 + (3 + -3m) = 6m + -1(9m + -1) + -8m + 5 Reorder the terms: -9 + 3 + -4m + -3m = 6m + -1(9m + -1) + -8m + 5 Combine like terms: -9 + 3 = -6 -6 + -4m + -3m = 6m + -1(9m + -1) + -8m + 5 Combine like terms: -4m + -3m = -7m -6 + -7m = 6m + -1(9m + -1) + -8m + 5 Reorder the terms: -6 + -7m = 6m + -1(-1 + 9m) + -8m + 5 -6 + -7m = 6m + (-1 * -1 + 9m * -1) + -8m + 5 -6 + -7m = 6m + (1 + -9m) + -8m + 5 Reorder the terms: -6 + -7m = 1 + 5 + 6m + -9m + -8m Combine like terms: 1 + 5 = 6 -6 + -7m = 6 + 6m + -9m + -8m Combine like terms: 6m + -9m = -3m -6 + -7m = 6 + -3m + -8m Combine like terms: -3m + -8m = -11m -6 + -7m = 6 + -11m Solving -6 + -7m = 6 + -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. -6 + -7m + 11m = 6 + -11m + 11m Combine like terms: -7m + 11m = 4m -6 + 4m = 6 + -11m + 11m Combine like terms: -11m + 11m = 0 -6 + 4m = 6 + 0 -6 + 4m = 6 Add '6' to each side of the equation. -6 + 6 + 4m = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4m = 6 + 6 4m = 6 + 6 Combine like terms: 6 + 6 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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