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Simplifying 4(1 + -3n) + -14 = 4(2n + 3) + -9n (1 * 4 + -3n * 4) + -14 = 4(2n + 3) + -9n (4 + -12n) + -14 = 4(2n + 3) + -9n Reorder the terms: 4 + -14 + -12n = 4(2n + 3) + -9n Combine like terms: 4 + -14 = -10 -10 + -12n = 4(2n + 3) + -9n Reorder the terms: -10 + -12n = 4(3 + 2n) + -9n -10 + -12n = (3 * 4 + 2n * 4) + -9n -10 + -12n = (12 + 8n) + -9n Combine like terms: 8n + -9n = -1n -10 + -12n = 12 + -1n Solving -10 + -12n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -10 + -12n + n = 12 + -1n + n Combine like terms: -12n + n = -11n -10 + -11n = 12 + -1n + n Combine like terms: -1n + n = 0 -10 + -11n = 12 + 0 -10 + -11n = 12 Add '10' to each side of the equation. -10 + 10 + -11n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -11n = 12 + 10 -11n = 12 + 10 Combine like terms: 12 + 10 = 22 -11n = 22 Divide each side by '-11'. n = -2 Simplifying n = -2
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