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Simplifying 20 + 4n = -8 + -8(1 + 4n) 20 + 4n = -8 + (1 * -8 + 4n * -8) 20 + 4n = -8 + (-8 + -32n) Combine like terms: -8 + -8 = -16 20 + 4n = -16 + -32n Solving 20 + 4n = -16 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 20 + 4n + 32n = -16 + -32n + 32n Combine like terms: 4n + 32n = 36n 20 + 36n = -16 + -32n + 32n Combine like terms: -32n + 32n = 0 20 + 36n = -16 + 0 20 + 36n = -16 Add '-20' to each side of the equation. 20 + -20 + 36n = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 36n = -16 + -20 36n = -16 + -20 Combine like terms: -16 + -20 = -36 36n = -36 Divide each side by '36'. n = -1 Simplifying n = -1
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