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Simplifying -24 + -2n = 5(4n + 4) Reorder the terms: -24 + -2n = 5(4 + 4n) -24 + -2n = (4 * 5 + 4n * 5) -24 + -2n = (20 + 20n) Solving -24 + -2n = 20 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -24 + -2n + -20n = 20 + 20n + -20n Combine like terms: -2n + -20n = -22n -24 + -22n = 20 + 20n + -20n Combine like terms: 20n + -20n = 0 -24 + -22n = 20 + 0 -24 + -22n = 20 Add '24' to each side of the equation. -24 + 24 + -22n = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -22n = 20 + 24 -22n = 20 + 24 Combine like terms: 20 + 24 = 44 -22n = 44 Divide each side by '-22'. n = -2 Simplifying n = -2
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