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Simplifying 5q + 7 = 3(2q + -5) Reorder the terms: 7 + 5q = 3(2q + -5) Reorder the terms: 7 + 5q = 3(-5 + 2q) 7 + 5q = (-5 * 3 + 2q * 3) 7 + 5q = (-15 + 6q) Solving 7 + 5q = -15 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 7 + 5q + -6q = -15 + 6q + -6q Combine like terms: 5q + -6q = -1q 7 + -1q = -15 + 6q + -6q Combine like terms: 6q + -6q = 0 7 + -1q = -15 + 0 7 + -1q = -15 Add '-7' to each side of the equation. 7 + -7 + -1q = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = -15 + -7 -1q = -15 + -7 Combine like terms: -15 + -7 = -22 -1q = -22 Divide each side by '-1'. q = 22 Simplifying q = 22
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