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Simplifying 32 + -8n = 8(-5 + -4n) 32 + -8n = (-5 * 8 + -4n * 8) 32 + -8n = (-40 + -32n) Solving 32 + -8n = -40 + -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. 32 + -8n + 32n = -40 + -32n + 32n Combine like terms: -8n + 32n = 24n 32 + 24n = -40 + -32n + 32n Combine like terms: -32n + 32n = 0 32 + 24n = -40 + 0 32 + 24n = -40 Add '-32' to each side of the equation. 32 + -32 + 24n = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 24n = -40 + -32 24n = -40 + -32 Combine like terms: -40 + -32 = -72 24n = -72 Divide each side by '24'. n = -3 Simplifying n = -3
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