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Simplifying 4 + 6(-8 + -7n) = 36 + -2n 4 + (-8 * 6 + -7n * 6) = 36 + -2n 4 + (-48 + -42n) = 36 + -2n Combine like terms: 4 + -48 = -44 -44 + -42n = 36 + -2n Solving -44 + -42n = 36 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -44 + -42n + 2n = 36 + -2n + 2n Combine like terms: -42n + 2n = -40n -44 + -40n = 36 + -2n + 2n Combine like terms: -2n + 2n = 0 -44 + -40n = 36 + 0 -44 + -40n = 36 Add '44' to each side of the equation. -44 + 44 + -40n = 36 + 44 Combine like terms: -44 + 44 = 0 0 + -40n = 36 + 44 -40n = 36 + 44 Combine like terms: 36 + 44 = 80 -40n = 80 Divide each side by '-40'. n = -2 Simplifying n = -2
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