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Simplifying 5 + -3(n + 4) + 7 = 3 + -4(2n + -1) + -6n Reorder the terms: 5 + -3(4 + n) + 7 = 3 + -4(2n + -1) + -6n 5 + (4 * -3 + n * -3) + 7 = 3 + -4(2n + -1) + -6n 5 + (-12 + -3n) + 7 = 3 + -4(2n + -1) + -6n Reorder the terms: 5 + -12 + 7 + -3n = 3 + -4(2n + -1) + -6n Combine like terms: 5 + -12 = -7 -7 + 7 + -3n = 3 + -4(2n + -1) + -6n Combine like terms: -7 + 7 = 0 0 + -3n = 3 + -4(2n + -1) + -6n -3n = 3 + -4(2n + -1) + -6n Reorder the terms: -3n = 3 + -4(-1 + 2n) + -6n -3n = 3 + (-1 * -4 + 2n * -4) + -6n -3n = 3 + (4 + -8n) + -6n Combine like terms: 3 + 4 = 7 -3n = 7 + -8n + -6n Combine like terms: -8n + -6n = -14n -3n = 7 + -14n Solving -3n = 7 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -3n + 14n = 7 + -14n + 14n Combine like terms: -3n + 14n = 11n 11n = 7 + -14n + 14n Combine like terms: -14n + 14n = 0 11n = 7 + 0 11n = 7 Divide each side by '11'. n = 0.6363636364 Simplifying n = 0.6363636364
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