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Simplifying 114 = 6(4n + 3) Reorder the terms: 114 = 6(3 + 4n) 114 = (3 * 6 + 4n * 6) 114 = (18 + 24n) Solving 114 = 18 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 114 + -24n = 18 + 24n + -24n Combine like terms: 24n + -24n = 0 114 + -24n = 18 + 0 114 + -24n = 18 Add '-114' to each side of the equation. 114 + -114 + -24n = 18 + -114 Combine like terms: 114 + -114 = 0 0 + -24n = 18 + -114 -24n = 18 + -114 Combine like terms: 18 + -114 = -96 -24n = -96 Divide each side by '-24'. n = 4 Simplifying n = 4
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