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Simplifying 27 + 5n = 7(4n + -6) Reorder the terms: 27 + 5n = 7(-6 + 4n) 27 + 5n = (-6 * 7 + 4n * 7) 27 + 5n = (-42 + 28n) Solving 27 + 5n = -42 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 27 + 5n + -28n = -42 + 28n + -28n Combine like terms: 5n + -28n = -23n 27 + -23n = -42 + 28n + -28n Combine like terms: 28n + -28n = 0 27 + -23n = -42 + 0 27 + -23n = -42 Add '-27' to each side of the equation. 27 + -27 + -23n = -42 + -27 Combine like terms: 27 + -27 = 0 0 + -23n = -42 + -27 -23n = -42 + -27 Combine like terms: -42 + -27 = -69 -23n = -69 Divide each side by '-23'. n = 3 Simplifying n = 3
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