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Simplifying -5 + -1(m + 8) + 6m = 4(m + 2) Reorder the terms: -5 + -1(8 + m) + 6m = 4(m + 2) -5 + (8 * -1 + m * -1) + 6m = 4(m + 2) -5 + (-8 + -1m) + 6m = 4(m + 2) Combine like terms: -5 + -8 = -13 -13 + -1m + 6m = 4(m + 2) Combine like terms: -1m + 6m = 5m -13 + 5m = 4(m + 2) Reorder the terms: -13 + 5m = 4(2 + m) -13 + 5m = (2 * 4 + m * 4) -13 + 5m = (8 + 4m) Solving -13 + 5m = 8 + 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. -13 + 5m + -4m = 8 + 4m + -4m Combine like terms: 5m + -4m = 1m -13 + 1m = 8 + 4m + -4m Combine like terms: 4m + -4m = 0 -13 + 1m = 8 + 0 -13 + 1m = 8 Add '13' to each side of the equation. -13 + 13 + 1m = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 1m = 8 + 13 1m = 8 + 13 Combine like terms: 8 + 13 = 21 1m = 21 Divide each side by '1'. m = 21 Simplifying m = 21
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