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Simplifying -3 + -7(n + -6) = -1 + -2n Reorder the terms: -3 + -7(-6 + n) = -1 + -2n -3 + (-6 * -7 + n * -7) = -1 + -2n -3 + (42 + -7n) = -1 + -2n Combine like terms: -3 + 42 = 39 39 + -7n = -1 + -2n Solving 39 + -7n = -1 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 39 + -7n + 2n = -1 + -2n + 2n Combine like terms: -7n + 2n = -5n 39 + -5n = -1 + -2n + 2n Combine like terms: -2n + 2n = 0 39 + -5n = -1 + 0 39 + -5n = -1 Add '-39' to each side of the equation. 39 + -39 + -5n = -1 + -39 Combine like terms: 39 + -39 = 0 0 + -5n = -1 + -39 -5n = -1 + -39 Combine like terms: -1 + -39 = -40 -5n = -40 Divide each side by '-5'. n = 8 Simplifying n = 8
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