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Simplifying 4(3q + -2) = -16q Reorder the terms: 4(-2 + 3q) = -16q (-2 * 4 + 3q * 4) = -16q (-8 + 12q) = -16q Solving -8 + 12q = -16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '16q' to each side of the equation. -8 + 12q + 16q = -16q + 16q Combine like terms: 12q + 16q = 28q -8 + 28q = -16q + 16q Combine like terms: -16q + 16q = 0 -8 + 28q = 0 Add '8' to each side of the equation. -8 + 8 + 28q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 28q = 0 + 8 28q = 0 + 8 Combine like terms: 0 + 8 = 8 28q = 8 Divide each side by '28'. q = 0.2857142857 Simplifying q = 0.2857142857
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