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Simplifying 2(q + 47) + -6 = 38 Reorder the terms: 2(47 + q) + -6 = 38 (47 * 2 + q * 2) + -6 = 38 (94 + 2q) + -6 = 38 Reorder the terms: 94 + -6 + 2q = 38 Combine like terms: 94 + -6 = 88 88 + 2q = 38 Solving 88 + 2q = 38 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 2q = 38 + -88 Combine like terms: 88 + -88 = 0 0 + 2q = 38 + -88 2q = 38 + -88 Combine like terms: 38 + -88 = -50 2q = -50 Divide each side by '2'. q = -25 Simplifying q = -25
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