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Simplifying -1(n + -6) + -5(2n + 12) = -10n + -10n Reorder the terms: -1(-6 + n) + -5(2n + 12) = -10n + -10n (-6 * -1 + n * -1) + -5(2n + 12) = -10n + -10n (6 + -1n) + -5(2n + 12) = -10n + -10n Reorder the terms: 6 + -1n + -5(12 + 2n) = -10n + -10n 6 + -1n + (12 * -5 + 2n * -5) = -10n + -10n 6 + -1n + (-60 + -10n) = -10n + -10n Reorder the terms: 6 + -60 + -1n + -10n = -10n + -10n Combine like terms: 6 + -60 = -54 -54 + -1n + -10n = -10n + -10n Combine like terms: -1n + -10n = -11n -54 + -11n = -10n + -10n Combine like terms: -10n + -10n = -20n -54 + -11n = -20n Solving -54 + -11n = -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -54 + -11n + 20n = -20n + 20n Combine like terms: -11n + 20n = 9n -54 + 9n = -20n + 20n Combine like terms: -20n + 20n = 0 -54 + 9n = 0 Add '54' to each side of the equation. -54 + 54 + 9n = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 9n = 0 + 54 9n = 0 + 54 Combine like terms: 0 + 54 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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