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Simplifying 20n + -20n + 8 = 8(3n + -19) + -14n Reorder the terms: 8 + 20n + -20n = 8(3n + -19) + -14n Combine like terms: 20n + -20n = 0 8 + 0 = 8(3n + -19) + -14n 8 = 8(3n + -19) + -14n Reorder the terms: 8 = 8(-19 + 3n) + -14n 8 = (-19 * 8 + 3n * 8) + -14n 8 = (-152 + 24n) + -14n Combine like terms: 24n + -14n = 10n 8 = -152 + 10n Solving 8 = -152 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 8 + -10n = -152 + 10n + -10n Combine like terms: 10n + -10n = 0 8 + -10n = -152 + 0 8 + -10n = -152 Add '-8' to each side of the equation. 8 + -8 + -10n = -152 + -8 Combine like terms: 8 + -8 = 0 0 + -10n = -152 + -8 -10n = -152 + -8 Combine like terms: -152 + -8 = -160 -10n = -160 Divide each side by '-10'. n = 16 Simplifying n = 16
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