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Simplifying -3q = -7 + -2(3q + 13) Reorder the terms: -3q = -7 + -2(13 + 3q) -3q = -7 + (13 * -2 + 3q * -2) -3q = -7 + (-26 + -6q) Combine like terms: -7 + -26 = -33 -3q = -33 + -6q Solving -3q = -33 + -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. -3q + 6q = -33 + -6q + 6q Combine like terms: -3q + 6q = 3q 3q = -33 + -6q + 6q Combine like terms: -6q + 6q = 0 3q = -33 + 0 3q = -33 Divide each side by '3'. q = -11 Simplifying q = -11
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