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Simplifying 5(2 + n) = 4(q + 19) (2 * 5 + n * 5) = 4(q + 19) (10 + 5n) = 4(q + 19) Reorder the terms: 10 + 5n = 4(19 + q) 10 + 5n = (19 * 4 + q * 4) 10 + 5n = (76 + 4q) Solving 10 + 5n = 76 + 4q Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5n = 76 + -10 + 4q Combine like terms: 10 + -10 = 0 0 + 5n = 76 + -10 + 4q 5n = 76 + -10 + 4q Combine like terms: 76 + -10 = 66 5n = 66 + 4q Divide each side by '5'. n = 13.2 + 0.8q Simplifying n = 13.2 + 0.8q
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