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Simplifying 8(5n + -2) = -7(1 + -7n) Reorder the terms: 8(-2 + 5n) = -7(1 + -7n) (-2 * 8 + 5n * 8) = -7(1 + -7n) (-16 + 40n) = -7(1 + -7n) -16 + 40n = (1 * -7 + -7n * -7) -16 + 40n = (-7 + 49n) Solving -16 + 40n = -7 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. -16 + 40n + -49n = -7 + 49n + -49n Combine like terms: 40n + -49n = -9n -16 + -9n = -7 + 49n + -49n Combine like terms: 49n + -49n = 0 -16 + -9n = -7 + 0 -16 + -9n = -7 Add '16' to each side of the equation. -16 + 16 + -9n = -7 + 16 Combine like terms: -16 + 16 = 0 0 + -9n = -7 + 16 -9n = -7 + 16 Combine like terms: -7 + 16 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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