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Simplifying 25 + 2q = 3(q + -8) Reorder the terms: 25 + 2q = 3(-8 + q) 25 + 2q = (-8 * 3 + q * 3) 25 + 2q = (-24 + 3q) Solving 25 + 2q = -24 + 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. 25 + 2q + -3q = -24 + 3q + -3q Combine like terms: 2q + -3q = -1q 25 + -1q = -24 + 3q + -3q Combine like terms: 3q + -3q = 0 25 + -1q = -24 + 0 25 + -1q = -24 Add '-25' to each side of the equation. 25 + -25 + -1q = -24 + -25 Combine like terms: 25 + -25 = 0 0 + -1q = -24 + -25 -1q = -24 + -25 Combine like terms: -24 + -25 = -49 -1q = -49 Divide each side by '-1'. q = 49 Simplifying q = 49
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