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Simplifying 5 + 3(n + -8) = -2(5 + -1n) Reorder the terms: 5 + 3(-8 + n) = -2(5 + -1n) 5 + (-8 * 3 + n * 3) = -2(5 + -1n) 5 + (-24 + 3n) = -2(5 + -1n) Combine like terms: 5 + -24 = -19 -19 + 3n = -2(5 + -1n) -19 + 3n = (5 * -2 + -1n * -2) -19 + 3n = (-10 + 2n) Solving -19 + 3n = -10 + 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. -19 + 3n + -2n = -10 + 2n + -2n Combine like terms: 3n + -2n = 1n -19 + 1n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 -19 + 1n = -10 + 0 -19 + 1n = -10 Add '19' to each side of the equation. -19 + 19 + 1n = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 1n = -10 + 19 1n = -10 + 19 Combine like terms: -10 + 19 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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