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Simplifying 46 = -8(-4n + 1) + -3(6n + -4) Reorder the terms: 46 = -8(1 + -4n) + -3(6n + -4) 46 = (1 * -8 + -4n * -8) + -3(6n + -4) 46 = (-8 + 32n) + -3(6n + -4) Reorder the terms: 46 = -8 + 32n + -3(-4 + 6n) 46 = -8 + 32n + (-4 * -3 + 6n * -3) 46 = -8 + 32n + (12 + -18n) Reorder the terms: 46 = -8 + 12 + 32n + -18n Combine like terms: -8 + 12 = 4 46 = 4 + 32n + -18n Combine like terms: 32n + -18n = 14n 46 = 4 + 14n Solving 46 = 4 + 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. 46 + -14n = 4 + 14n + -14n Combine like terms: 14n + -14n = 0 46 + -14n = 4 + 0 46 + -14n = 4 Add '-46' to each side of the equation. 46 + -46 + -14n = 4 + -46 Combine like terms: 46 + -46 = 0 0 + -14n = 4 + -46 -14n = 4 + -46 Combine like terms: 4 + -46 = -42 -14n = -42 Divide each side by '-14'. n = 3 Simplifying n = 3
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