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Simplifying -8(n + 10) = 28 + 4n Reorder the terms: -8(10 + n) = 28 + 4n (10 * -8 + n * -8) = 28 + 4n (-80 + -8n) = 28 + 4n Solving -80 + -8n = 28 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -80 + -8n + -4n = 28 + 4n + -4n Combine like terms: -8n + -4n = -12n -80 + -12n = 28 + 4n + -4n Combine like terms: 4n + -4n = 0 -80 + -12n = 28 + 0 -80 + -12n = 28 Add '80' to each side of the equation. -80 + 80 + -12n = 28 + 80 Combine like terms: -80 + 80 = 0 0 + -12n = 28 + 80 -12n = 28 + 80 Combine like terms: 28 + 80 = 108 -12n = 108 Divide each side by '-12'. n = -9 Simplifying n = -9
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