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Simplifying 4(1 + -4n) = 34 + -6n (1 * 4 + -4n * 4) = 34 + -6n (4 + -16n) = 34 + -6n Solving 4 + -16n = 34 + -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. 4 + -16n + 6n = 34 + -6n + 6n Combine like terms: -16n + 6n = -10n 4 + -10n = 34 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + -10n = 34 + 0 4 + -10n = 34 Add '-4' to each side of the equation. 4 + -4 + -10n = 34 + -4 Combine like terms: 4 + -4 = 0 0 + -10n = 34 + -4 -10n = 34 + -4 Combine like terms: 34 + -4 = 30 -10n = 30 Divide each side by '-10'. n = -3 Simplifying n = -3
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