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Simplifying -12(10n + 5) = -10(n + -6) Reorder the terms: -12(5 + 10n) = -10(n + -6) (5 * -12 + 10n * -12) = -10(n + -6) (-60 + -120n) = -10(n + -6) Reorder the terms: -60 + -120n = -10(-6 + n) -60 + -120n = (-6 * -10 + n * -10) -60 + -120n = (60 + -10n) Solving -60 + -120n = 60 + -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. -60 + -120n + 10n = 60 + -10n + 10n Combine like terms: -120n + 10n = -110n -60 + -110n = 60 + -10n + 10n Combine like terms: -10n + 10n = 0 -60 + -110n = 60 + 0 -60 + -110n = 60 Add '60' to each side of the equation. -60 + 60 + -110n = 60 + 60 Combine like terms: -60 + 60 = 0 0 + -110n = 60 + 60 -110n = 60 + 60 Combine like terms: 60 + 60 = 120 -110n = 120 Divide each side by '-110'. n = -1.090909091 Simplifying n = -1.090909091
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