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Simplifying 6n + -1(5n + 6) = -2 + 3n Reorder the terms: 6n + -1(6 + 5n) = -2 + 3n 6n + (6 * -1 + 5n * -1) = -2 + 3n 6n + (-6 + -5n) = -2 + 3n Reorder the terms: -6 + 6n + -5n = -2 + 3n Combine like terms: 6n + -5n = 1n -6 + 1n = -2 + 3n Solving -6 + 1n = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -6 + 1n + -3n = -2 + 3n + -3n Combine like terms: 1n + -3n = -2n -6 + -2n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + -2n = -2 + 0 -6 + -2n = -2 Add '6' to each side of the equation. -6 + 6 + -2n = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = -2 + 6 -2n = -2 + 6 Combine like terms: -2 + 6 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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