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Simplifying 10 + -1(n + -10) = 5(n + 3) Reorder the terms: 10 + -1(-10 + n) = 5(n + 3) 10 + (-10 * -1 + n * -1) = 5(n + 3) 10 + (10 + -1n) = 5(n + 3) Combine like terms: 10 + 10 = 20 20 + -1n = 5(n + 3) Reorder the terms: 20 + -1n = 5(3 + n) 20 + -1n = (3 * 5 + n * 5) 20 + -1n = (15 + 5n) Solving 20 + -1n = 15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 20 + -1n + -5n = 15 + 5n + -5n Combine like terms: -1n + -5n = -6n 20 + -6n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 20 + -6n = 15 + 0 20 + -6n = 15 Add '-20' to each side of the equation. 20 + -20 + -6n = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -6n = 15 + -20 -6n = 15 + -20 Combine like terms: 15 + -20 = -5 -6n = -5 Divide each side by '-6'. n = 0.8333333333 Simplifying n = 0.8333333333
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