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Simplifying 3n + -4 + 3n = 8(-4n + -1) + -4(-1 + 2n) Reorder the terms: -4 + 3n + 3n = 8(-4n + -1) + -4(-1 + 2n) Combine like terms: 3n + 3n = 6n -4 + 6n = 8(-4n + -1) + -4(-1 + 2n) Reorder the terms: -4 + 6n = 8(-1 + -4n) + -4(-1 + 2n) -4 + 6n = (-1 * 8 + -4n * 8) + -4(-1 + 2n) -4 + 6n = (-8 + -32n) + -4(-1 + 2n) -4 + 6n = -8 + -32n + (-1 * -4 + 2n * -4) -4 + 6n = -8 + -32n + (4 + -8n) Reorder the terms: -4 + 6n = -8 + 4 + -32n + -8n Combine like terms: -8 + 4 = -4 -4 + 6n = -4 + -32n + -8n Combine like terms: -32n + -8n = -40n -4 + 6n = -4 + -40n Add '4' to each side of the equation. -4 + 4 + 6n = -4 + 4 + -40n Combine like terms: -4 + 4 = 0 0 + 6n = -4 + 4 + -40n 6n = -4 + 4 + -40n Combine like terms: -4 + 4 = 0 6n = 0 + -40n 6n = -40n Solving 6n = -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 6n + 40n = -40n + 40n Combine like terms: 6n + 40n = 46n 46n = -40n + 40n Combine like terms: -40n + 40n = 0 46n = 0 Divide each side by '46'. n = 0 Simplifying n = 0
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