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Simplifying 1 + 5(m + -5) = 3(m + -10) Reorder the terms: 1 + 5(-5 + m) = 3(m + -10) 1 + (-5 * 5 + m * 5) = 3(m + -10) 1 + (-25 + 5m) = 3(m + -10) Combine like terms: 1 + -25 = -24 -24 + 5m = 3(m + -10) Reorder the terms: -24 + 5m = 3(-10 + m) -24 + 5m = (-10 * 3 + m * 3) -24 + 5m = (-30 + 3m) Solving -24 + 5m = -30 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -24 + 5m + -3m = -30 + 3m + -3m Combine like terms: 5m + -3m = 2m -24 + 2m = -30 + 3m + -3m Combine like terms: 3m + -3m = 0 -24 + 2m = -30 + 0 -24 + 2m = -30 Add '24' to each side of the equation. -24 + 24 + 2m = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2m = -30 + 24 2m = -30 + 24 Combine like terms: -30 + 24 = -6 2m = -6 Divide each side by '2'. m = -3 Simplifying m = -3
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