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Simplifying 2(q + 19) = 3q Reorder the terms: 2(19 + q) = 3q (19 * 2 + q * 2) = 3q (38 + 2q) = 3q Solving 38 + 2q = 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. 38 + 2q + -3q = 3q + -3q Combine like terms: 2q + -3q = -1q 38 + -1q = 3q + -3q Combine like terms: 3q + -3q = 0 38 + -1q = 0 Add '-38' to each side of the equation. 38 + -38 + -1q = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1q = 0 + -38 -1q = 0 + -38 Combine like terms: 0 + -38 = -38 -1q = -38 Divide each side by '-1'. q = 38 Simplifying q = 38
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