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Simplifying 32 + -2n = -1(7n + 3) Reorder the terms: 32 + -2n = -1(3 + 7n) 32 + -2n = (3 * -1 + 7n * -1) 32 + -2n = (-3 + -7n) Solving 32 + -2n = -3 + -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. 32 + -2n + 7n = -3 + -7n + 7n Combine like terms: -2n + 7n = 5n 32 + 5n = -3 + -7n + 7n Combine like terms: -7n + 7n = 0 32 + 5n = -3 + 0 32 + 5n = -3 Add '-32' to each side of the equation. 32 + -32 + 5n = -3 + -32 Combine like terms: 32 + -32 = 0 0 + 5n = -3 + -32 5n = -3 + -32 Combine like terms: -3 + -32 = -35 5n = -35 Divide each side by '5'. n = -7 Simplifying n = -7
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