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