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Simplifying 22 + -5(3 + -2n) = 2n + -1(5n + 32) 22 + (3 * -5 + -2n * -5) = 2n + -1(5n + 32) 22 + (-15 + 10n) = 2n + -1(5n + 32) Combine like terms: 22 + -15 = 7 7 + 10n = 2n + -1(5n + 32) Reorder the terms: 7 + 10n = 2n + -1(32 + 5n) 7 + 10n = 2n + (32 * -1 + 5n * -1) 7 + 10n = 2n + (-32 + -5n) Reorder the terms: 7 + 10n = -32 + 2n + -5n Combine like terms: 2n + -5n = -3n 7 + 10n = -32 + -3n Solving 7 + 10n = -32 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 7 + 10n + 3n = -32 + -3n + 3n Combine like terms: 10n + 3n = 13n 7 + 13n = -32 + -3n + 3n Combine like terms: -3n + 3n = 0 7 + 13n = -32 + 0 7 + 13n = -32 Add '-7' to each side of the equation. 7 + -7 + 13n = -32 + -7 Combine like terms: 7 + -7 = 0 0 + 13n = -32 + -7 13n = -32 + -7 Combine like terms: -32 + -7 = -39 13n = -39 Divide each side by '13'. n = -3 Simplifying n = -3
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