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Simplifying 4(3q + -8) = 16q Reorder the terms: 4(-8 + 3q) = 16q (-8 * 4 + 3q * 4) = 16q (-32 + 12q) = 16q Solving -32 + 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. -32 + 12q + -16q = 16q + -16q Combine like terms: 12q + -16q = -4q -32 + -4q = 16q + -16q Combine like terms: 16q + -16q = 0 -32 + -4q = 0 Add '32' to each side of the equation. -32 + 32 + -4q = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -4q = 0 + 32 -4q = 0 + 32 Combine like terms: 0 + 32 = 32 -4q = 32 Divide each side by '-4'. q = -8 Simplifying q = -8
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