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Simplifying -6 + -1(7n + -1) = 15 + -3n Reorder the terms: -6 + -1(-1 + 7n) = 15 + -3n -6 + (-1 * -1 + 7n * -1) = 15 + -3n -6 + (1 + -7n) = 15 + -3n Combine like terms: -6 + 1 = -5 -5 + -7n = 15 + -3n Solving -5 + -7n = 15 + -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. -5 + -7n + 3n = 15 + -3n + 3n Combine like terms: -7n + 3n = -4n -5 + -4n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 -5 + -4n = 15 + 0 -5 + -4n = 15 Add '5' to each side of the equation. -5 + 5 + -4n = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -4n = 15 + 5 -4n = 15 + 5 Combine like terms: 15 + 5 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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