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Simplifying -114 = -6n + -6(4 + 2n) -114 = -6n + (4 * -6 + 2n * -6) -114 = -6n + (-24 + -12n) Reorder the terms: -114 = -24 + -6n + -12n Combine like terms: -6n + -12n = -18n -114 = -24 + -18n Solving -114 = -24 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -114 + 18n = -24 + -18n + 18n Combine like terms: -18n + 18n = 0 -114 + 18n = -24 + 0 -114 + 18n = -24 Add '114' to each side of the equation. -114 + 114 + 18n = -24 + 114 Combine like terms: -114 + 114 = 0 0 + 18n = -24 + 114 18n = -24 + 114 Combine like terms: -24 + 114 = 90 18n = 90 Divide each side by '18'. n = 5 Simplifying n = 5
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