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Simplifying (16q + 4) + 42 = 29q + 20 Reorder the terms: (4 + 16q) + 42 = 29q + 20 Remove parenthesis around (4 + 16q) 4 + 16q + 42 = 29q + 20 Reorder the terms: 4 + 42 + 16q = 29q + 20 Combine like terms: 4 + 42 = 46 46 + 16q = 29q + 20 Reorder the terms: 46 + 16q = 20 + 29q Solving 46 + 16q = 20 + 29q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-29q' to each side of the equation. 46 + 16q + -29q = 20 + 29q + -29q Combine like terms: 16q + -29q = -13q 46 + -13q = 20 + 29q + -29q Combine like terms: 29q + -29q = 0 46 + -13q = 20 + 0 46 + -13q = 20 Add '-46' to each side of the equation. 46 + -46 + -13q = 20 + -46 Combine like terms: 46 + -46 = 0 0 + -13q = 20 + -46 -13q = 20 + -46 Combine like terms: 20 + -46 = -26 -13q = -26 Divide each side by '-13'. q = 2 Simplifying q = 2
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