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Simplifying 2(q + 34) + 11 = -47 Reorder the terms: 2(34 + q) + 11 = -47 (34 * 2 + q * 2) + 11 = -47 (68 + 2q) + 11 = -47 Reorder the terms: 68 + 11 + 2q = -47 Combine like terms: 68 + 11 = 79 79 + 2q = -47 Solving 79 + 2q = -47 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + 2q = -47 + -79 Combine like terms: 79 + -79 = 0 0 + 2q = -47 + -79 2q = -47 + -79 Combine like terms: -47 + -79 = -126 2q = -126 Divide each side by '2'. q = -63 Simplifying q = -63
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