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Simplifying 5(2n + -10) = 7n + -32 Reorder the terms: 5(-10 + 2n) = 7n + -32 (-10 * 5 + 2n * 5) = 7n + -32 (-50 + 10n) = 7n + -32 Reorder the terms: -50 + 10n = -32 + 7n Solving -50 + 10n = -32 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -50 + 10n + -7n = -32 + 7n + -7n Combine like terms: 10n + -7n = 3n -50 + 3n = -32 + 7n + -7n Combine like terms: 7n + -7n = 0 -50 + 3n = -32 + 0 -50 + 3n = -32 Add '50' to each side of the equation. -50 + 50 + 3n = -32 + 50 Combine like terms: -50 + 50 = 0 0 + 3n = -32 + 50 3n = -32 + 50 Combine like terms: -32 + 50 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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