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Simplifying 27 + -7n = 5(n + 3) Reorder the terms: 27 + -7n = 5(3 + n) 27 + -7n = (3 * 5 + n * 5) 27 + -7n = (15 + 5n) Solving 27 + -7n = 15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 27 + -7n + -5n = 15 + 5n + -5n Combine like terms: -7n + -5n = -12n 27 + -12n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 27 + -12n = 15 + 0 27 + -12n = 15 Add '-27' to each side of the equation. 27 + -27 + -12n = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -12n = 15 + -27 -12n = 15 + -27 Combine like terms: 15 + -27 = -12 -12n = -12 Divide each side by '-12'. n = 1 Simplifying n = 1
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