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Simplifying 6(q + -6) = -2q + -4 Reorder the terms: 6(-6 + q) = -2q + -4 (-6 * 6 + q * 6) = -2q + -4 (-36 + 6q) = -2q + -4 Reorder the terms: -36 + 6q = -4 + -2q Solving -36 + 6q = -4 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -36 + 6q + 2q = -4 + -2q + 2q Combine like terms: 6q + 2q = 8q -36 + 8q = -4 + -2q + 2q Combine like terms: -2q + 2q = 0 -36 + 8q = -4 + 0 -36 + 8q = -4 Add '36' to each side of the equation. -36 + 36 + 8q = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 8q = -4 + 36 8q = -4 + 36 Combine like terms: -4 + 36 = 32 8q = 32 Divide each side by '8'. q = 4 Simplifying q = 4
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