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Simplifying -3(q + -7) = 2 + q + -21 Reorder the terms: -3(-7 + q) = 2 + q + -21 (-7 * -3 + q * -3) = 2 + q + -21 (21 + -3q) = 2 + q + -21 Reorder the terms: 21 + -3q = 2 + -21 + q Combine like terms: 2 + -21 = -19 21 + -3q = -19 + q Solving 21 + -3q = -19 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 21 + -3q + -1q = -19 + q + -1q Combine like terms: -3q + -1q = -4q 21 + -4q = -19 + q + -1q Combine like terms: q + -1q = 0 21 + -4q = -19 + 0 21 + -4q = -19 Add '-21' to each side of the equation. 21 + -21 + -4q = -19 + -21 Combine like terms: 21 + -21 = 0 0 + -4q = -19 + -21 -4q = -19 + -21 Combine like terms: -19 + -21 = -40 -4q = -40 Divide each side by '-4'. q = 10 Simplifying q = 10
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