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Simplifying -7(m + 7) + -3(-4m + -2) = 4(m + -8) + 6 Reorder the terms: -7(7 + m) + -3(-4m + -2) = 4(m + -8) + 6 (7 * -7 + m * -7) + -3(-4m + -2) = 4(m + -8) + 6 (-49 + -7m) + -3(-4m + -2) = 4(m + -8) + 6 Reorder the terms: -49 + -7m + -3(-2 + -4m) = 4(m + -8) + 6 -49 + -7m + (-2 * -3 + -4m * -3) = 4(m + -8) + 6 -49 + -7m + (6 + 12m) = 4(m + -8) + 6 Reorder the terms: -49 + 6 + -7m + 12m = 4(m + -8) + 6 Combine like terms: -49 + 6 = -43 -43 + -7m + 12m = 4(m + -8) + 6 Combine like terms: -7m + 12m = 5m -43 + 5m = 4(m + -8) + 6 Reorder the terms: -43 + 5m = 4(-8 + m) + 6 -43 + 5m = (-8 * 4 + m * 4) + 6 -43 + 5m = (-32 + 4m) + 6 Reorder the terms: -43 + 5m = -32 + 6 + 4m Combine like terms: -32 + 6 = -26 -43 + 5m = -26 + 4m Solving -43 + 5m = -26 + 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. -43 + 5m + -4m = -26 + 4m + -4m Combine like terms: 5m + -4m = 1m -43 + 1m = -26 + 4m + -4m Combine like terms: 4m + -4m = 0 -43 + 1m = -26 + 0 -43 + 1m = -26 Add '43' to each side of the equation. -43 + 43 + 1m = -26 + 43 Combine like terms: -43 + 43 = 0 0 + 1m = -26 + 43 1m = -26 + 43 Combine like terms: -26 + 43 = 17 1m = 17 Divide each side by '1'. m = 17 Simplifying m = 17
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