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Simplifying 2q + -29 = 4q + -75 Reorder the terms: -29 + 2q = 4q + -75 Reorder the terms: -29 + 2q = -75 + 4q Solving -29 + 2q = -75 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -29 + 2q + -4q = -75 + 4q + -4q Combine like terms: 2q + -4q = -2q -29 + -2q = -75 + 4q + -4q Combine like terms: 4q + -4q = 0 -29 + -2q = -75 + 0 -29 + -2q = -75 Add '29' to each side of the equation. -29 + 29 + -2q = -75 + 29 Combine like terms: -29 + 29 = 0 0 + -2q = -75 + 29 -2q = -75 + 29 Combine like terms: -75 + 29 = -46 -2q = -46 Divide each side by '-2'. q = 23 Simplifying q = 23
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