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Simplifying 32 + n = -1(3 + 5n) + -1n 32 + n = (3 * -1 + 5n * -1) + -1n 32 + n = (-3 + -5n) + -1n Combine like terms: -5n + -1n = -6n 32 + n = -3 + -6n Solving 32 + n = -3 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 32 + n + 6n = -3 + -6n + 6n Combine like terms: n + 6n = 7n 32 + 7n = -3 + -6n + 6n Combine like terms: -6n + 6n = 0 32 + 7n = -3 + 0 32 + 7n = -3 Add '-32' to each side of the equation. 32 + -32 + 7n = -3 + -32 Combine like terms: 32 + -32 = 0 0 + 7n = -3 + -32 7n = -3 + -32 Combine like terms: -3 + -32 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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