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Simplifying 3(q + 7) = 10q Reorder the terms: 3(7 + q) = 10q (7 * 3 + q * 3) = 10q (21 + 3q) = 10q Solving 21 + 3q = 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 21 + 3q + -10q = 10q + -10q Combine like terms: 3q + -10q = -7q 21 + -7q = 10q + -10q Combine like terms: 10q + -10q = 0 21 + -7q = 0 Add '-21' to each side of the equation. 21 + -21 + -7q = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7q = 0 + -21 -7q = 0 + -21 Combine like terms: 0 + -21 = -21 -7q = -21 Divide each side by '-7'. q = 3 Simplifying q = 3
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