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Simplifying m + 4(m + -1) = m + -2(m + -4) Reorder the terms: m + 4(-1 + m) = m + -2(m + -4) m + (-1 * 4 + m * 4) = m + -2(m + -4) m + (-4 + 4m) = m + -2(m + -4) Reorder the terms: -4 + m + 4m = m + -2(m + -4) Combine like terms: m + 4m = 5m -4 + 5m = m + -2(m + -4) Reorder the terms: -4 + 5m = m + -2(-4 + m) -4 + 5m = m + (-4 * -2 + m * -2) -4 + 5m = m + (8 + -2m) Reorder the terms: -4 + 5m = 8 + m + -2m Combine like terms: m + -2m = -1m -4 + 5m = 8 + -1m Solving -4 + 5m = 8 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -4 + 5m + m = 8 + -1m + m Combine like terms: 5m + m = 6m -4 + 6m = 8 + -1m + m Combine like terms: -1m + m = 0 -4 + 6m = 8 + 0 -4 + 6m = 8 Add '4' to each side of the equation. -4 + 4 + 6m = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6m = 8 + 4 6m = 8 + 4 Combine like terms: 8 + 4 = 12 6m = 12 Divide each side by '6'. m = 2 Simplifying m = 2
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