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Simplifying 5(n + 3) = 3 * 1 + -2(n) Reorder the terms: 5(3 + n) = 3 * 1 + -2(n) (3 * 5 + n * 5) = 3 * 1 + -2(n) (15 + 5n) = 3 * 1 + -2(n) Multiply 3 * 1 15 + 5n = 3 + -2(n) Solving 15 + 5n = 3 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 15 + 5n + 2n = 3 + -2n + 2n Combine like terms: 5n + 2n = 7n 15 + 7n = 3 + -2n + 2n Combine like terms: -2n + 2n = 0 15 + 7n = 3 + 0 15 + 7n = 3 Add '-15' to each side of the equation. 15 + -15 + 7n = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 7n = 3 + -15 7n = 3 + -15 Combine like terms: 3 + -15 = -12 7n = -12 Divide each side by '7'. n = -1.714285714 Simplifying n = -1.714285714
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