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Simplifying 3(n + -5) + 1 = 2(n + 1) + -9 Reorder the terms: 3(-5 + n) + 1 = 2(n + 1) + -9 (-5 * 3 + n * 3) + 1 = 2(n + 1) + -9 (-15 + 3n) + 1 = 2(n + 1) + -9 Reorder the terms: -15 + 1 + 3n = 2(n + 1) + -9 Combine like terms: -15 + 1 = -14 -14 + 3n = 2(n + 1) + -9 Reorder the terms: -14 + 3n = 2(1 + n) + -9 -14 + 3n = (1 * 2 + n * 2) + -9 -14 + 3n = (2 + 2n) + -9 Reorder the terms: -14 + 3n = 2 + -9 + 2n Combine like terms: 2 + -9 = -7 -14 + 3n = -7 + 2n Solving -14 + 3n = -7 + 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 = -7 + 2n + -2n Combine like terms: 3n + -2n = 1n -14 + 1n = -7 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + 1n = -7 + 0 -14 + 1n = -7 Add '14' to each side of the equation. -14 + 14 + 1n = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = -7 + 14 1n = -7 + 14 Combine like terms: -7 + 14 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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