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Simplifying 36 = -4(n + -8) + -5(n + 1) Reorder the terms: 36 = -4(-8 + n) + -5(n + 1) 36 = (-8 * -4 + n * -4) + -5(n + 1) 36 = (32 + -4n) + -5(n + 1) Reorder the terms: 36 = 32 + -4n + -5(1 + n) 36 = 32 + -4n + (1 * -5 + n * -5) 36 = 32 + -4n + (-5 + -5n) Reorder the terms: 36 = 32 + -5 + -4n + -5n Combine like terms: 32 + -5 = 27 36 = 27 + -4n + -5n Combine like terms: -4n + -5n = -9n 36 = 27 + -9n Solving 36 = 27 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 36 + 9n = 27 + -9n + 9n Combine like terms: -9n + 9n = 0 36 + 9n = 27 + 0 36 + 9n = 27 Add '-36' to each side of the equation. 36 + -36 + 9n = 27 + -36 Combine like terms: 36 + -36 = 0 0 + 9n = 27 + -36 9n = 27 + -36 Combine like terms: 27 + -36 = -9 9n = -9 Divide each side by '9'. n = -1 Simplifying n = -1
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