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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 = -4q -8 + -4q = 16q + -16q Combine like terms: 16q + -16q = 0 -8 + -4q = 0 Add '8' to each side of the equation. -8 + 8 + -4q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4q = 0 + 8 -4q = 0 + 8 Combine like terms: 0 + 8 = 8 -4q = 8 Divide each side by '-4'. q = -2 Simplifying q = -2
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