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Simplifying 5(3 + -1n) + -1(2n + 2) = 8 (3 * 5 + -1n * 5) + -1(2n + 2) = 8 (15 + -5n) + -1(2n + 2) = 8 Reorder the terms: 15 + -5n + -1(2 + 2n) = 8 15 + -5n + (2 * -1 + 2n * -1) = 8 15 + -5n + (-2 + -2n) = 8 Reorder the terms: 15 + -2 + -5n + -2n = 8 Combine like terms: 15 + -2 = 13 13 + -5n + -2n = 8 Combine like terms: -5n + -2n = -7n 13 + -7n = 8 Solving 13 + -7n = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -7n = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -7n = 8 + -13 -7n = 8 + -13 Combine like terms: 8 + -13 = -5 -7n = -5 Divide each side by '-7'. n = 0.7142857143 Simplifying n = 0.7142857143
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