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Simplifying -4m + 19 + -7(m + -1) = 6m + -1(3m + -7) + -7m + 5 Reorder the terms: -4m + 19 + -7(-1 + m) = 6m + -1(3m + -7) + -7m + 5 -4m + 19 + (-1 * -7 + m * -7) = 6m + -1(3m + -7) + -7m + 5 -4m + 19 + (7 + -7m) = 6m + -1(3m + -7) + -7m + 5 Reorder the terms: 19 + 7 + -4m + -7m = 6m + -1(3m + -7) + -7m + 5 Combine like terms: 19 + 7 = 26 26 + -4m + -7m = 6m + -1(3m + -7) + -7m + 5 Combine like terms: -4m + -7m = -11m 26 + -11m = 6m + -1(3m + -7) + -7m + 5 Reorder the terms: 26 + -11m = 6m + -1(-7 + 3m) + -7m + 5 26 + -11m = 6m + (-7 * -1 + 3m * -1) + -7m + 5 26 + -11m = 6m + (7 + -3m) + -7m + 5 Reorder the terms: 26 + -11m = 7 + 5 + 6m + -3m + -7m Combine like terms: 7 + 5 = 12 26 + -11m = 12 + 6m + -3m + -7m Combine like terms: 6m + -3m = 3m 26 + -11m = 12 + 3m + -7m Combine like terms: 3m + -7m = -4m 26 + -11m = 12 + -4m Solving 26 + -11m = 12 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 26 + -11m + 4m = 12 + -4m + 4m Combine like terms: -11m + 4m = -7m 26 + -7m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 26 + -7m = 12 + 0 26 + -7m = 12 Add '-26' to each side of the equation. 26 + -26 + -7m = 12 + -26 Combine like terms: 26 + -26 = 0 0 + -7m = 12 + -26 -7m = 12 + -26 Combine like terms: 12 + -26 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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