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Simplifying 5(n + -2) = 7 + 6n Reorder the terms: 5(-2 + n) = 7 + 6n (-2 * 5 + n * 5) = 7 + 6n (-10 + 5n) = 7 + 6n Solving -10 + 5n = 7 + 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. -10 + 5n + -6n = 7 + 6n + -6n Combine like terms: 5n + -6n = -1n -10 + -1n = 7 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + -1n = 7 + 0 -10 + -1n = 7 Add '10' to each side of the equation. -10 + 10 + -1n = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = 7 + 10 -1n = 7 + 10 Combine like terms: 7 + 10 = 17 -1n = 17 Divide each side by '-1'. n = -17 Simplifying n = -17
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