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Simplifying 5(-12n + -2) = 12(1 + -6n) + 10n Reorder the terms: 5(-2 + -12n) = 12(1 + -6n) + 10n (-2 * 5 + -12n * 5) = 12(1 + -6n) + 10n (-10 + -60n) = 12(1 + -6n) + 10n -10 + -60n = (1 * 12 + -6n * 12) + 10n -10 + -60n = (12 + -72n) + 10n Combine like terms: -72n + 10n = -62n -10 + -60n = 12 + -62n Solving -10 + -60n = 12 + -62n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '62n' to each side of the equation. -10 + -60n + 62n = 12 + -62n + 62n Combine like terms: -60n + 62n = 2n -10 + 2n = 12 + -62n + 62n Combine like terms: -62n + 62n = 0 -10 + 2n = 12 + 0 -10 + 2n = 12 Add '10' to each side of the equation. -10 + 10 + 2n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 12 + 10 2n = 12 + 10 Combine like terms: 12 + 10 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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