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Simplifying 5(n + 3) = 2(n) + -3(1) Reorder the terms: 5(3 + n) = 2(n) + -3(1) (3 * 5 + n * 5) = 2(n) + -3(1) (15 + 5n) = 2(n) + -3(1) Multiply -3 * 1 15 + 5n = 2n + -3 Reorder the terms: 15 + 5n = -3 + 2n 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 = 3n 15 + 3n = -3 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + 3n = -3 + 0 15 + 3n = -3 Add '-15' to each side of the equation. 15 + -15 + 3n = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 3n = -3 + -15 3n = -3 + -15 Combine like terms: -3 + -15 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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