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Simplifying 3(10 + -1n) = 2n + -15 (10 * 3 + -1n * 3) = 2n + -15 (30 + -3n) = 2n + -15 Reorder the terms: 30 + -3n = -15 + 2n Solving 30 + -3n = -15 + 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. 30 + -3n + -2n = -15 + 2n + -2n Combine like terms: -3n + -2n = -5n 30 + -5n = -15 + 2n + -2n Combine like terms: 2n + -2n = 0 30 + -5n = -15 + 0 30 + -5n = -15 Add '-30' to each side of the equation. 30 + -30 + -5n = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -5n = -15 + -30 -5n = -15 + -30 Combine like terms: -15 + -30 = -45 -5n = -45 Divide each side by '-5'. n = 9 Simplifying n = 9
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