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Simplifying 5(2m + 11) = 5(m + -9) Reorder the terms: 5(11 + 2m) = 5(m + -9) (11 * 5 + 2m * 5) = 5(m + -9) (55 + 10m) = 5(m + -9) Reorder the terms: 55 + 10m = 5(-9 + m) 55 + 10m = (-9 * 5 + m * 5) 55 + 10m = (-45 + 5m) Solving 55 + 10m = -45 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 55 + 10m + -5m = -45 + 5m + -5m Combine like terms: 10m + -5m = 5m 55 + 5m = -45 + 5m + -5m Combine like terms: 5m + -5m = 0 55 + 5m = -45 + 0 55 + 5m = -45 Add '-55' to each side of the equation. 55 + -55 + 5m = -45 + -55 Combine like terms: 55 + -55 = 0 0 + 5m = -45 + -55 5m = -45 + -55 Combine like terms: -45 + -55 = -100 5m = -100 Divide each side by '5'. m = -20 Simplifying m = -20
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