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Simplifying 112 = 5(3n + 2) * 3 Reorder the terms: 112 = 5(2 + 3n) * 3 Reorder the terms for easier multiplication: 112 = 5 * 3(2 + 3n) Multiply 5 * 3 112 = 15(2 + 3n) 112 = (2 * 15 + 3n * 15) 112 = (30 + 45n) Solving 112 = 30 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 112 + -45n = 30 + 45n + -45n Combine like terms: 45n + -45n = 0 112 + -45n = 30 + 0 112 + -45n = 30 Add '-112' to each side of the equation. 112 + -112 + -45n = 30 + -112 Combine like terms: 112 + -112 = 0 0 + -45n = 30 + -112 -45n = 30 + -112 Combine like terms: 30 + -112 = -82 -45n = -82 Divide each side by '-45'. n = 1.822222222 Simplifying n = 1.822222222
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