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Simplifying -2 + -8(6 + -5n) = 4n + -7(n + 1) -2 + (6 * -8 + -5n * -8) = 4n + -7(n + 1) -2 + (-48 + 40n) = 4n + -7(n + 1) Combine like terms: -2 + -48 = -50 -50 + 40n = 4n + -7(n + 1) Reorder the terms: -50 + 40n = 4n + -7(1 + n) -50 + 40n = 4n + (1 * -7 + n * -7) -50 + 40n = 4n + (-7 + -7n) Reorder the terms: -50 + 40n = -7 + 4n + -7n Combine like terms: 4n + -7n = -3n -50 + 40n = -7 + -3n Solving -50 + 40n = -7 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -50 + 40n + 3n = -7 + -3n + 3n Combine like terms: 40n + 3n = 43n -50 + 43n = -7 + -3n + 3n Combine like terms: -3n + 3n = 0 -50 + 43n = -7 + 0 -50 + 43n = -7 Add '50' to each side of the equation. -50 + 50 + 43n = -7 + 50 Combine like terms: -50 + 50 = 0 0 + 43n = -7 + 50 43n = -7 + 50 Combine like terms: -7 + 50 = 43 43n = 43 Divide each side by '43'. n = 1 Simplifying n = 1
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