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Simplifying -5n + 6 = -7(5n + -6n) + -6n Reorder the terms: 6 + -5n = -7(5n + -6n) + -6n Combine like terms: 5n + -6n = -1n 6 + -5n = -7(-1n) + -6n Remove parenthesis around (-1n) 6 + -5n = -7 * -1n + -6n Multiply -7 * -1 6 + -5n = 7n + -6n Combine like terms: 7n + -6n = 1n 6 + -5n = 1n Solving 6 + -5n = 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 6 + -5n + -1n = 1n + -1n Combine like terms: -5n + -1n = -6n 6 + -6n = 1n + -1n Combine like terms: 1n + -1n = 0 6 + -6n = 0 Add '-6' to each side of the equation. 6 + -6 + -6n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6n = 0 + -6 -6n = 0 + -6 Combine like terms: 0 + -6 = -6 -6n = -6 Divide each side by '-6'. n = 1 Simplifying n = 1
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