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Simplifying 20 + -1(n + 10) = 3n + 14 + -2n Reorder the terms: 20 + -1(10 + n) = 3n + 14 + -2n 20 + (10 * -1 + n * -1) = 3n + 14 + -2n 20 + (-10 + -1n) = 3n + 14 + -2n Combine like terms: 20 + -10 = 10 10 + -1n = 3n + 14 + -2n Reorder the terms: 10 + -1n = 14 + 3n + -2n Combine like terms: 3n + -2n = 1n 10 + -1n = 14 + 1n Solving 10 + -1n = 14 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + -1n + -1n = 14 + 1n + -1n Combine like terms: -1n + -1n = -2n 10 + -2n = 14 + 1n + -1n Combine like terms: 1n + -1n = 0 10 + -2n = 14 + 0 10 + -2n = 14 Add '-10' to each side of the equation. 10 + -10 + -2n = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 14 + -10 -2n = 14 + -10 Combine like terms: 14 + -10 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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