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Simplifying 1 + 2(-8 + 8n) = 21 + 4n 1 + (-8 * 2 + 8n * 2) = 21 + 4n 1 + (-16 + 16n) = 21 + 4n Combine like terms: 1 + -16 = -15 -15 + 16n = 21 + 4n Solving -15 + 16n = 21 + 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. -15 + 16n + -4n = 21 + 4n + -4n Combine like terms: 16n + -4n = 12n -15 + 12n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 -15 + 12n = 21 + 0 -15 + 12n = 21 Add '15' to each side of the equation. -15 + 15 + 12n = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 12n = 21 + 15 12n = 21 + 15 Combine like terms: 21 + 15 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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