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Simplifying (3 + n) * 5 = (7n) + -3 Reorder the terms for easier multiplication: 5(3 + n) = (7n) + -3 (3 * 5 + n * 5) = (7n) + -3 (15 + 5n) = (7n) + -3 Reorder the terms: 15 + 5n = -3 + (7n) Solving 15 + 5n = -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. 15 + 5n + (-7n) = -3 + (7n) + (-7n) Combine like terms: 5n + (-7n) = -2n 15 + -2n = -3 + (7n) + (-7n) Combine like terms: (7n) + (-7n) = 0 15 + -2n = -3 + 0 15 + -2n = -3 Add '-15' to each side of the equation. 15 + -15 + -2n = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -2n = -3 + -15 -2n = -3 + -15 Combine like terms: -3 + -15 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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