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Simplifying 4(3q + -1) = 16q Reorder the terms: 4(-1 + 3q) = 16q (-1 * 4 + 3q * 4) = 16q (-4 + 12q) = 16q Solving -4 + 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. -4 + 12q + -16q = 16q + -16q Combine like terms: 12q + -16q = -4q -4 + -4q = 16q + -16q Combine like terms: 16q + -16q = 0 -4 + -4q = 0 Add '4' to each side of the equation. -4 + 4 + -4q = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4q = 0 + 4 -4q = 0 + 4 Combine like terms: 0 + 4 = 4 -4q = 4 Divide each side by '-4'. q = -1 Simplifying q = -1
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