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Simplifying -114 = 6(3n + 4) Reorder the terms: -114 = 6(4 + 3n) -114 = (4 * 6 + 3n * 6) -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 = 138 -18n = 138 Divide each side by '-18'. n = -7.666666667 Simplifying n = -7.666666667
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