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Simplifying 1(-7 + 6n) + 24 = 2(n + -10) (-7 * 1 + 6n * 1) + 24 = 2(n + -10) (-7 + 6n) + 24 = 2(n + -10) Reorder the terms: -7 + 24 + 6n = 2(n + -10) Combine like terms: -7 + 24 = 17 17 + 6n = 2(n + -10) Reorder the terms: 17 + 6n = 2(-10 + n) 17 + 6n = (-10 * 2 + n * 2) 17 + 6n = (-20 + 2n) Solving 17 + 6n = -20 + 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. 17 + 6n + -2n = -20 + 2n + -2n Combine like terms: 6n + -2n = 4n 17 + 4n = -20 + 2n + -2n Combine like terms: 2n + -2n = 0 17 + 4n = -20 + 0 17 + 4n = -20 Add '-17' to each side of the equation. 17 + -17 + 4n = -20 + -17 Combine like terms: 17 + -17 = 0 0 + 4n = -20 + -17 4n = -20 + -17 Combine like terms: -20 + -17 = -37 4n = -37 Divide each side by '4'. n = -9.25 Simplifying n = -9.25
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