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Simplifying -6n + 6 = 12n + -15 Reorder the terms: 6 + -6n = 12n + -15 Reorder the terms: 6 + -6n = -15 + 12n Solving 6 + -6n = -15 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 6 + -6n + -12n = -15 + 12n + -12n Combine like terms: -6n + -12n = -18n 6 + -18n = -15 + 12n + -12n Combine like terms: 12n + -12n = 0 6 + -18n = -15 + 0 6 + -18n = -15 Add '-6' to each side of the equation. 6 + -6 + -18n = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -18n = -15 + -6 -18n = -15 + -6 Combine like terms: -15 + -6 = -21 -18n = -21 Divide each side by '-18'. n = 1.166666667 Simplifying n = 1.166666667
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