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Simplifying 178 = 6(4n + 3) + -4n Reorder the terms: 178 = 6(3 + 4n) + -4n 178 = (3 * 6 + 4n * 6) + -4n 178 = (18 + 24n) + -4n Combine like terms: 24n + -4n = 20n 178 = 18 + 20n Solving 178 = 18 + 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. 178 + -20n = 18 + 20n + -20n Combine like terms: 20n + -20n = 0 178 + -20n = 18 + 0 178 + -20n = 18 Add '-178' to each side of the equation. 178 + -178 + -20n = 18 + -178 Combine like terms: 178 + -178 = 0 0 + -20n = 18 + -178 -20n = 18 + -178 Combine like terms: 18 + -178 = -160 -20n = -160 Divide each side by '-20'. n = 8 Simplifying n = 8
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