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Simplifying 3(2n + -14) + n = 15 + -1(-9n + -5) Reorder the terms: 3(-14 + 2n) + n = 15 + -1(-9n + -5) (-14 * 3 + 2n * 3) + n = 15 + -1(-9n + -5) (-42 + 6n) + n = 15 + -1(-9n + -5) Combine like terms: 6n + n = 7n -42 + 7n = 15 + -1(-9n + -5) Reorder the terms: -42 + 7n = 15 + -1(-5 + -9n) -42 + 7n = 15 + (-5 * -1 + -9n * -1) -42 + 7n = 15 + (5 + 9n) Combine like terms: 15 + 5 = 20 -42 + 7n = 20 + 9n Solving -42 + 7n = 20 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -42 + 7n + -9n = 20 + 9n + -9n Combine like terms: 7n + -9n = -2n -42 + -2n = 20 + 9n + -9n Combine like terms: 9n + -9n = 0 -42 + -2n = 20 + 0 -42 + -2n = 20 Add '42' to each side of the equation. -42 + 42 + -2n = 20 + 42 Combine like terms: -42 + 42 = 0 0 + -2n = 20 + 42 -2n = 20 + 42 Combine like terms: 20 + 42 = 62 -2n = 62 Divide each side by '-2'. n = -31 Simplifying n = -31
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