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Simplifying 4m + 8 + 5(4m + -5) + -5(m + 5) = 0 Reorder the terms: 4m + 8 + 5(-5 + 4m) + -5(m + 5) = 0 4m + 8 + (-5 * 5 + 4m * 5) + -5(m + 5) = 0 4m + 8 + (-25 + 20m) + -5(m + 5) = 0 Reorder the terms: 4m + 8 + -25 + 20m + -5(5 + m) = 0 4m + 8 + -25 + 20m + (5 * -5 + m * -5) = 0 4m + 8 + -25 + 20m + (-25 + -5m) = 0 Reorder the terms: 8 + -25 + -25 + 4m + 20m + -5m = 0 Combine like terms: 8 + -25 = -17 -17 + -25 + 4m + 20m + -5m = 0 Combine like terms: -17 + -25 = -42 -42 + 4m + 20m + -5m = 0 Combine like terms: 4m + 20m = 24m -42 + 24m + -5m = 0 Combine like terms: 24m + -5m = 19m -42 + 19m = 0 Solving -42 + 19m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 19m = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 19m = 0 + 42 19m = 0 + 42 Combine like terms: 0 + 42 = 42 19m = 42 Divide each side by '19'. m = 2.210526316 Simplifying m = 2.210526316
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