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Simplifying 5(n + 9) = 6n + -2 Reorder the terms: 5(9 + n) = 6n + -2 (9 * 5 + n * 5) = 6n + -2 (45 + 5n) = 6n + -2 Reorder the terms: 45 + 5n = -2 + 6n Solving 45 + 5n = -2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 45 + 5n + -6n = -2 + 6n + -6n Combine like terms: 5n + -6n = -1n 45 + -1n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 45 + -1n = -2 + 0 45 + -1n = -2 Add '-45' to each side of the equation. 45 + -45 + -1n = -2 + -45 Combine like terms: 45 + -45 = 0 0 + -1n = -2 + -45 -1n = -2 + -45 Combine like terms: -2 + -45 = -47 -1n = -47 Divide each side by '-1'. n = 47 Simplifying n = 47
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