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Simplifying -4 + 5n = 4n + 4(2n + 6) Reorder the terms: -4 + 5n = 4n + 4(6 + 2n) -4 + 5n = 4n + (6 * 4 + 2n * 4) -4 + 5n = 4n + (24 + 8n) Reorder the terms: -4 + 5n = 24 + 4n + 8n Combine like terms: 4n + 8n = 12n -4 + 5n = 24 + 12n Solving -4 + 5n = 24 + 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. -4 + 5n + -12n = 24 + 12n + -12n Combine like terms: 5n + -12n = -7n -4 + -7n = 24 + 12n + -12n Combine like terms: 12n + -12n = 0 -4 + -7n = 24 + 0 -4 + -7n = 24 Add '4' to each side of the equation. -4 + 4 + -7n = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -7n = 24 + 4 -7n = 24 + 4 Combine like terms: 24 + 4 = 28 -7n = 28 Divide each side by '-7'. n = -4 Simplifying n = -4
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