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Simplifying -6(n + 7) + -1 = 9 + 7n Reorder the terms: -6(7 + n) + -1 = 9 + 7n (7 * -6 + n * -6) + -1 = 9 + 7n (-42 + -6n) + -1 = 9 + 7n Reorder the terms: -42 + -1 + -6n = 9 + 7n Combine like terms: -42 + -1 = -43 -43 + -6n = 9 + 7n Solving -43 + -6n = 9 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -43 + -6n + -7n = 9 + 7n + -7n Combine like terms: -6n + -7n = -13n -43 + -13n = 9 + 7n + -7n Combine like terms: 7n + -7n = 0 -43 + -13n = 9 + 0 -43 + -13n = 9 Add '43' to each side of the equation. -43 + 43 + -13n = 9 + 43 Combine like terms: -43 + 43 = 0 0 + -13n = 9 + 43 -13n = 9 + 43 Combine like terms: 9 + 43 = 52 -13n = 52 Divide each side by '-13'. n = -4 Simplifying n = -4
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