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Simplifying -10 = -1(1 + 6n) + 3n -10 = (1 * -1 + 6n * -1) + 3n -10 = (-1 + -6n) + 3n Combine like terms: -6n + 3n = -3n -10 = -1 + -3n Solving -10 = -1 + -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. -10 + 3n = -1 + -3n + 3n Combine like terms: -3n + 3n = 0 -10 + 3n = -1 + 0 -10 + 3n = -1 Add '10' to each side of the equation. -10 + 10 + 3n = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = -1 + 10 3n = -1 + 10 Combine like terms: -1 + 10 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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