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Simplifying -2(7n + 9) = 8(10n + 10) + 4n Reorder the terms: -2(9 + 7n) = 8(10n + 10) + 4n (9 * -2 + 7n * -2) = 8(10n + 10) + 4n (-18 + -14n) = 8(10n + 10) + 4n Reorder the terms: -18 + -14n = 8(10 + 10n) + 4n -18 + -14n = (10 * 8 + 10n * 8) + 4n -18 + -14n = (80 + 80n) + 4n Combine like terms: 80n + 4n = 84n -18 + -14n = 80 + 84n Solving -18 + -14n = 80 + 84n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-84n' to each side of the equation. -18 + -14n + -84n = 80 + 84n + -84n Combine like terms: -14n + -84n = -98n -18 + -98n = 80 + 84n + -84n Combine like terms: 84n + -84n = 0 -18 + -98n = 80 + 0 -18 + -98n = 80 Add '18' to each side of the equation. -18 + 18 + -98n = 80 + 18 Combine like terms: -18 + 18 = 0 0 + -98n = 80 + 18 -98n = 80 + 18 Combine like terms: 80 + 18 = 98 -98n = 98 Divide each side by '-98'. n = -1 Simplifying n = -1
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