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Simplifying 10n + -6(4n + 9) = -2(12n + 2) Reorder the terms: 10n + -6(9 + 4n) = -2(12n + 2) 10n + (9 * -6 + 4n * -6) = -2(12n + 2) 10n + (-54 + -24n) = -2(12n + 2) Reorder the terms: -54 + 10n + -24n = -2(12n + 2) Combine like terms: 10n + -24n = -14n -54 + -14n = -2(12n + 2) Reorder the terms: -54 + -14n = -2(2 + 12n) -54 + -14n = (2 * -2 + 12n * -2) -54 + -14n = (-4 + -24n) Solving -54 + -14n = -4 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -54 + -14n + 24n = -4 + -24n + 24n Combine like terms: -14n + 24n = 10n -54 + 10n = -4 + -24n + 24n Combine like terms: -24n + 24n = 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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