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Simplifying 4(n + 6) = 4n + 8(n + -13) Reorder the terms: 4(6 + n) = 4n + 8(n + -13) (6 * 4 + n * 4) = 4n + 8(n + -13) (24 + 4n) = 4n + 8(n + -13) Reorder the terms: 24 + 4n = 4n + 8(-13 + n) 24 + 4n = 4n + (-13 * 8 + n * 8) 24 + 4n = 4n + (-104 + 8n) Reorder the terms: 24 + 4n = -104 + 4n + 8n Combine like terms: 4n + 8n = 12n 24 + 4n = -104 + 12n Solving 24 + 4n = -104 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 24 + 4n + -12n = -104 + 12n + -12n Combine like terms: 4n + -12n = -8n 24 + -8n = -104 + 12n + -12n Combine like terms: 12n + -12n = 0 24 + -8n = -104 + 0 24 + -8n = -104 Add '-24' to each side of the equation. 24 + -24 + -8n = -104 + -24 Combine like terms: 24 + -24 = 0 0 + -8n = -104 + -24 -8n = -104 + -24 Combine like terms: -104 + -24 = -128 -8n = -128 Divide each side by '-8'. n = 16 Simplifying n = 16
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