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Simplifying -10n + -4n = 6(12n + 8) + -12(4 + -6n) Combine like terms: -10n + -4n = -14n -14n = 6(12n + 8) + -12(4 + -6n) Reorder the terms: -14n = 6(8 + 12n) + -12(4 + -6n) -14n = (8 * 6 + 12n * 6) + -12(4 + -6n) -14n = (48 + 72n) + -12(4 + -6n) -14n = 48 + 72n + (4 * -12 + -6n * -12) -14n = 48 + 72n + (-48 + 72n) Reorder the terms: -14n = 48 + -48 + 72n + 72n Combine like terms: 48 + -48 = 0 -14n = 0 + 72n + 72n -14n = 72n + 72n Combine like terms: 72n + 72n = 144n -14n = 144n Solving -14n = 144n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-144n' to each side of the equation. -14n + -144n = 144n + -144n Combine like terms: -14n + -144n = -158n -158n = 144n + -144n Combine like terms: 144n + -144n = 0 -158n = 0 Divide each side by '-158'. n = 0 Simplifying n = 0
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