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Simplifying -72 = 2(5n + 5) + 2(1 + n) Reorder the terms: -72 = 2(5 + 5n) + 2(1 + n) -72 = (5 * 2 + 5n * 2) + 2(1 + n) -72 = (10 + 10n) + 2(1 + n) -72 = 10 + 10n + (1 * 2 + n * 2) -72 = 10 + 10n + (2 + 2n) Reorder the terms: -72 = 10 + 2 + 10n + 2n Combine like terms: 10 + 2 = 12 -72 = 12 + 10n + 2n Combine like terms: 10n + 2n = 12n -72 = 12 + 12n Solving -72 = 12 + 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. -72 + -12n = 12 + 12n + -12n Combine like terms: 12n + -12n = 0 -72 + -12n = 12 + 0 -72 + -12n = 12 Add '72' to each side of the equation. -72 + 72 + -12n = 12 + 72 Combine like terms: -72 + 72 = 0 0 + -12n = 12 + 72 -12n = 12 + 72 Combine like terms: 12 + 72 = 84 -12n = 84 Divide each side by '-12'. n = -7 Simplifying n = -7
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