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Simplifying (4q + 19) = (3q + 7) Reorder the terms: (19 + 4q) = (3q + 7) Remove parenthesis around (19 + 4q) 19 + 4q = (3q + 7) Reorder the terms: 19 + 4q = (7 + 3q) Remove parenthesis around (7 + 3q) 19 + 4q = 7 + 3q Solving 19 + 4q = 7 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 19 + 4q + -3q = 7 + 3q + -3q Combine like terms: 4q + -3q = 1q 19 + 1q = 7 + 3q + -3q Combine like terms: 3q + -3q = 0 19 + 1q = 7 + 0 19 + 1q = 7 Add '-19' to each side of the equation. 19 + -19 + 1q = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 1q = 7 + -19 1q = 7 + -19 Combine like terms: 7 + -19 = -12 1q = -12 Divide each side by '1'. q = -12 Simplifying q = -12
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