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Simplifying 3n + 24 = -5(-2n + 5) Reorder the terms: 24 + 3n = -5(-2n + 5) Reorder the terms: 24 + 3n = -5(5 + -2n) 24 + 3n = (5 * -5 + -2n * -5) 24 + 3n = (-25 + 10n) Solving 24 + 3n = -25 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 24 + 3n + -10n = -25 + 10n + -10n Combine like terms: 3n + -10n = -7n 24 + -7n = -25 + 10n + -10n Combine like terms: 10n + -10n = 0 24 + -7n = -25 + 0 24 + -7n = -25 Add '-24' to each side of the equation. 24 + -24 + -7n = -25 + -24 Combine like terms: 24 + -24 = 0 0 + -7n = -25 + -24 -7n = -25 + -24 Combine like terms: -25 + -24 = -49 -7n = -49 Divide each side by '-7'. n = 7 Simplifying n = 7
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