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Simplifying 4(2q + -3) = 8 + -12 Reorder the terms: 4(-3 + 2q) = 8 + -12 (-3 * 4 + 2q * 4) = 8 + -12 (-12 + 8q) = 8 + -12 Combine like terms: 8 + -12 = -4 -12 + 8q = -4 Solving -12 + 8q = -4 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8q = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 8q = -4 + 12 8q = -4 + 12 Combine like terms: -4 + 12 = 8 8q = 8 Divide each side by '8'. q = 1 Simplifying q = 1
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