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Simplifying 3n + 4 = 5(5n + 2) + -2n Reorder the terms: 4 + 3n = 5(5n + 2) + -2n Reorder the terms: 4 + 3n = 5(2 + 5n) + -2n 4 + 3n = (2 * 5 + 5n * 5) + -2n 4 + 3n = (10 + 25n) + -2n Combine like terms: 25n + -2n = 23n 4 + 3n = 10 + 23n Solving 4 + 3n = 10 + 23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23n' to each side of the equation. 4 + 3n + -23n = 10 + 23n + -23n Combine like terms: 3n + -23n = -20n 4 + -20n = 10 + 23n + -23n Combine like terms: 23n + -23n = 0 4 + -20n = 10 + 0 4 + -20n = 10 Add '-4' to each side of the equation. 4 + -4 + -20n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -20n = 10 + -4 -20n = 10 + -4 Combine like terms: 10 + -4 = 6 -20n = 6 Divide each side by '-20'. n = -0.3 Simplifying n = -0.3
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