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Simplifying 114 = 6(7 + 3n) 114 = (7 * 6 + 3n * 6) 114 = (42 + 18n) Solving 114 = 42 + 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 = 42 + 18n + -18n Combine like terms: 18n + -18n = 0 114 + -18n = 42 + 0 114 + -18n = 42 Add '-114' to each side of the equation. 114 + -114 + -18n = 42 + -114 Combine like terms: 114 + -114 = 0 0 + -18n = 42 + -114 -18n = 42 + -114 Combine like terms: 42 + -114 = -72 -18n = -72 Divide each side by '-18'. n = 4 Simplifying n = 4
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