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Simplifying -1(7n + 3) + -6 = 1 + 6n Reorder the terms: -1(3 + 7n) + -6 = 1 + 6n (3 * -1 + 7n * -1) + -6 = 1 + 6n (-3 + -7n) + -6 = 1 + 6n Reorder the terms: -3 + -6 + -7n = 1 + 6n Combine like terms: -3 + -6 = -9 -9 + -7n = 1 + 6n Solving -9 + -7n = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -9 + -7n + -6n = 1 + 6n + -6n Combine like terms: -7n + -6n = -13n -9 + -13n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 -9 + -13n = 1 + 0 -9 + -13n = 1 Add '9' to each side of the equation. -9 + 9 + -13n = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -13n = 1 + 9 -13n = 1 + 9 Combine like terms: 1 + 9 = 10 -13n = 10 Divide each side by '-13'. n = -0.7692307692 Simplifying n = -0.7692307692
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