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Simplifying -1 + 6(-1n + 5) = -7(-1n + -4) + 2 Reorder the terms: -1 + 6(5 + -1n) = -7(-1n + -4) + 2 -1 + (5 * 6 + -1n * 6) = -7(-1n + -4) + 2 -1 + (30 + -6n) = -7(-1n + -4) + 2 Combine like terms: -1 + 30 = 29 29 + -6n = -7(-1n + -4) + 2 Reorder the terms: 29 + -6n = -7(-4 + -1n) + 2 29 + -6n = (-4 * -7 + -1n * -7) + 2 29 + -6n = (28 + 7n) + 2 Reorder the terms: 29 + -6n = 28 + 2 + 7n Combine like terms: 28 + 2 = 30 29 + -6n = 30 + 7n Solving 29 + -6n = 30 + 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. 29 + -6n + -7n = 30 + 7n + -7n Combine like terms: -6n + -7n = -13n 29 + -13n = 30 + 7n + -7n Combine like terms: 7n + -7n = 0 29 + -13n = 30 + 0 29 + -13n = 30 Add '-29' to each side of the equation. 29 + -29 + -13n = 30 + -29 Combine like terms: 29 + -29 = 0 0 + -13n = 30 + -29 -13n = 30 + -29 Combine like terms: 30 + -29 = 1 -13n = 1 Divide each side by '-13'. n = -0.07692307692 Simplifying n = -0.07692307692
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