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Simplifying -5m + -19 + -2(m + -2) = 2m + -1(8m + -6) + -7m + 3 Reorder the terms: -5m + -19 + -2(-2 + m) = 2m + -1(8m + -6) + -7m + 3 -5m + -19 + (-2 * -2 + m * -2) = 2m + -1(8m + -6) + -7m + 3 -5m + -19 + (4 + -2m) = 2m + -1(8m + -6) + -7m + 3 Reorder the terms: -19 + 4 + -5m + -2m = 2m + -1(8m + -6) + -7m + 3 Combine like terms: -19 + 4 = -15 -15 + -5m + -2m = 2m + -1(8m + -6) + -7m + 3 Combine like terms: -5m + -2m = -7m -15 + -7m = 2m + -1(8m + -6) + -7m + 3 Reorder the terms: -15 + -7m = 2m + -1(-6 + 8m) + -7m + 3 -15 + -7m = 2m + (-6 * -1 + 8m * -1) + -7m + 3 -15 + -7m = 2m + (6 + -8m) + -7m + 3 Reorder the terms: -15 + -7m = 6 + 3 + 2m + -8m + -7m Combine like terms: 6 + 3 = 9 -15 + -7m = 9 + 2m + -8m + -7m Combine like terms: 2m + -8m = -6m -15 + -7m = 9 + -6m + -7m Combine like terms: -6m + -7m = -13m -15 + -7m = 9 + -13m Solving -15 + -7m = 9 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -15 + -7m + 13m = 9 + -13m + 13m Combine like terms: -7m + 13m = 6m -15 + 6m = 9 + -13m + 13m Combine like terms: -13m + 13m = 0 -15 + 6m = 9 + 0 -15 + 6m = 9 Add '15' to each side of the equation. -15 + 15 + 6m = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6m = 9 + 15 6m = 9 + 15 Combine like terms: 9 + 15 = 24 6m = 24 Divide each side by '6'. m = 4 Simplifying m = 4
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