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Simplifying 7 + 5(1 + 4n) = 6(5n + -3) 7 + (1 * 5 + 4n * 5) = 6(5n + -3) 7 + (5 + 20n) = 6(5n + -3) Combine like terms: 7 + 5 = 12 12 + 20n = 6(5n + -3) Reorder the terms: 12 + 20n = 6(-3 + 5n) 12 + 20n = (-3 * 6 + 5n * 6) 12 + 20n = (-18 + 30n) Solving 12 + 20n = -18 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 12 + 20n + -30n = -18 + 30n + -30n Combine like terms: 20n + -30n = -10n 12 + -10n = -18 + 30n + -30n Combine like terms: 30n + -30n = 0 12 + -10n = -18 + 0 12 + -10n = -18 Add '-12' to each side of the equation. 12 + -12 + -10n = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -10n = -18 + -12 -10n = -18 + -12 Combine like terms: -18 + -12 = -30 -10n = -30 Divide each side by '-10'. n = 3 Simplifying n = 3
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