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Simplifying -5m + 19 + -8(m + -2) = 4m + -1(3m + -6) + -6m + 5 Reorder the terms: -5m + 19 + -8(-2 + m) = 4m + -1(3m + -6) + -6m + 5 -5m + 19 + (-2 * -8 + m * -8) = 4m + -1(3m + -6) + -6m + 5 -5m + 19 + (16 + -8m) = 4m + -1(3m + -6) + -6m + 5 Reorder the terms: 19 + 16 + -5m + -8m = 4m + -1(3m + -6) + -6m + 5 Combine like terms: 19 + 16 = 35 35 + -5m + -8m = 4m + -1(3m + -6) + -6m + 5 Combine like terms: -5m + -8m = -13m 35 + -13m = 4m + -1(3m + -6) + -6m + 5 Reorder the terms: 35 + -13m = 4m + -1(-6 + 3m) + -6m + 5 35 + -13m = 4m + (-6 * -1 + 3m * -1) + -6m + 5 35 + -13m = 4m + (6 + -3m) + -6m + 5 Reorder the terms: 35 + -13m = 6 + 5 + 4m + -3m + -6m Combine like terms: 6 + 5 = 11 35 + -13m = 11 + 4m + -3m + -6m Combine like terms: 4m + -3m = 1m 35 + -13m = 11 + 1m + -6m Combine like terms: 1m + -6m = -5m 35 + -13m = 11 + -5m Solving 35 + -13m = 11 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 35 + -13m + 5m = 11 + -5m + 5m Combine like terms: -13m + 5m = -8m 35 + -8m = 11 + -5m + 5m Combine like terms: -5m + 5m = 0 35 + -8m = 11 + 0 35 + -8m = 11 Add '-35' to each side of the equation. 35 + -35 + -8m = 11 + -35 Combine like terms: 35 + -35 = 0 0 + -8m = 11 + -35 -8m = 11 + -35 Combine like terms: 11 + -35 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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