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Simplifying -6 = -3(q + -7) Reorder the terms: -6 = -3(-7 + q) -6 = (-7 * -3 + q * -3) -6 = (21 + -3q) Solving -6 = 21 + -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. -6 + 3q = 21 + -3q + 3q Combine like terms: -3q + 3q = 0 -6 + 3q = 21 + 0 -6 + 3q = 21 Add '6' to each side of the equation. -6 + 6 + 3q = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 3q = 21 + 6 3q = 21 + 6 Combine like terms: 21 + 6 = 27 3q = 27 Divide each side by '3'. q = 9 Simplifying q = 9
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