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Simplifying -54 = -4(3n + 1) + 2n Reorder the terms: -54 = -4(1 + 3n) + 2n -54 = (1 * -4 + 3n * -4) + 2n -54 = (-4 + -12n) + 2n Combine like terms: -12n + 2n = -10n -54 = -4 + -10n Solving -54 = -4 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -54 + 10n = -4 + -10n + 10n Combine like terms: -10n + 10n = 0 -54 + 10n = -4 + 0 -54 + 10n = -4 Add '54' to each side of the equation. -54 + 54 + 10n = -4 + 54 Combine like terms: -54 + 54 = 0 0 + 10n = -4 + 54 10n = -4 + 54 Combine like terms: -4 + 54 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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