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Simplifying 10 + -1(n + 5) = 3n + 9 + -2n Reorder the terms: 10 + -1(5 + n) = 3n + 9 + -2n 10 + (5 * -1 + n * -1) = 3n + 9 + -2n 10 + (-5 + -1n) = 3n + 9 + -2n Combine like terms: 10 + -5 = 5 5 + -1n = 3n + 9 + -2n Reorder the terms: 5 + -1n = 9 + 3n + -2n Combine like terms: 3n + -2n = 1n 5 + -1n = 9 + 1n Solving 5 + -1n = 9 + 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. 5 + -1n + -1n = 9 + 1n + -1n Combine like terms: -1n + -1n = -2n 5 + -2n = 9 + 1n + -1n Combine like terms: 1n + -1n = 0 5 + -2n = 9 + 0 5 + -2n = 9 Add '-5' to each side of the equation. 5 + -5 + -2n = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 9 + -5 -2n = 9 + -5 Combine like terms: 9 + -5 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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