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Simplifying -3 + 4(-1n + 8) = -3(7 + -2n) Reorder the terms: -3 + 4(8 + -1n) = -3(7 + -2n) -3 + (8 * 4 + -1n * 4) = -3(7 + -2n) -3 + (32 + -4n) = -3(7 + -2n) Combine like terms: -3 + 32 = 29 29 + -4n = -3(7 + -2n) 29 + -4n = (7 * -3 + -2n * -3) 29 + -4n = (-21 + 6n) Solving 29 + -4n = -21 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 29 + -4n + -6n = -21 + 6n + -6n Combine like terms: -4n + -6n = -10n 29 + -10n = -21 + 6n + -6n Combine like terms: 6n + -6n = 0 29 + -10n = -21 + 0 29 + -10n = -21 Add '-29' to each side of the equation. 29 + -29 + -10n = -21 + -29 Combine like terms: 29 + -29 = 0 0 + -10n = -21 + -29 -10n = -21 + -29 Combine like terms: -21 + -29 = -50 -10n = -50 Divide each side by '-10'. n = 5 Simplifying n = 5
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