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Simplifying 2(2q + -3) = 8q + -12 Reorder the terms: 2(-3 + 2q) = 8q + -12 (-3 * 2 + 2q * 2) = 8q + -12 (-6 + 4q) = 8q + -12 Reorder the terms: -6 + 4q = -12 + 8q Solving -6 + 4q = -12 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -6 + 4q + -8q = -12 + 8q + -8q Combine like terms: 4q + -8q = -4q -6 + -4q = -12 + 8q + -8q Combine like terms: 8q + -8q = 0 -6 + -4q = -12 + 0 -6 + -4q = -12 Add '6' to each side of the equation. -6 + 6 + -4q = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -4q = -12 + 6 -4q = -12 + 6 Combine like terms: -12 + 6 = -6 -4q = -6 Divide each side by '-4'. q = 1.5 Simplifying q = 1.5
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