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Simplifying -6 + -6n + 3 + 4n = -1(-1 + 6n) + 5(-8n + 8) Reorder the terms: -6 + 3 + -6n + 4n = -1(-1 + 6n) + 5(-8n + 8) Combine like terms: -6 + 3 = -3 -3 + -6n + 4n = -1(-1 + 6n) + 5(-8n + 8) Combine like terms: -6n + 4n = -2n -3 + -2n = -1(-1 + 6n) + 5(-8n + 8) -3 + -2n = (-1 * -1 + 6n * -1) + 5(-8n + 8) -3 + -2n = (1 + -6n) + 5(-8n + 8) Reorder the terms: -3 + -2n = 1 + -6n + 5(8 + -8n) -3 + -2n = 1 + -6n + (8 * 5 + -8n * 5) -3 + -2n = 1 + -6n + (40 + -40n) Reorder the terms: -3 + -2n = 1 + 40 + -6n + -40n Combine like terms: 1 + 40 = 41 -3 + -2n = 41 + -6n + -40n Combine like terms: -6n + -40n = -46n -3 + -2n = 41 + -46n Solving -3 + -2n = 41 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. -3 + -2n + 46n = 41 + -46n + 46n Combine like terms: -2n + 46n = 44n -3 + 44n = 41 + -46n + 46n Combine like terms: -46n + 46n = 0 -3 + 44n = 41 + 0 -3 + 44n = 41 Add '3' to each side of the equation. -3 + 3 + 44n = 41 + 3 Combine like terms: -3 + 3 = 0 0 + 44n = 41 + 3 44n = 41 + 3 Combine like terms: 41 + 3 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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