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Simplifying 3(n + -3) + 23 = 2(n + -5) Reorder the terms: 3(-3 + n) + 23 = 2(n + -5) (-3 * 3 + n * 3) + 23 = 2(n + -5) (-9 + 3n) + 23 = 2(n + -5) Reorder the terms: -9 + 23 + 3n = 2(n + -5) Combine like terms: -9 + 23 = 14 14 + 3n = 2(n + -5) Reorder the terms: 14 + 3n = 2(-5 + n) 14 + 3n = (-5 * 2 + n * 2) 14 + 3n = (-10 + 2n) Solving 14 + 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. 14 + 3n + -2n = -10 + 2n + -2n Combine like terms: 3n + -2n = 1n 14 + 1n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 14 + 1n = -10 + 0 14 + 1n = -10 Add '-14' to each side of the equation. 14 + -14 + 1n = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = -10 + -14 1n = -10 + -14 Combine like terms: -10 + -14 = -24 1n = -24 Divide each side by '1'. n = -24 Simplifying n = -24
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