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Simplifying 20 = 4(q + 11) Reorder the terms: 20 = 4(11 + q) 20 = (11 * 4 + q * 4) 20 = (44 + 4q) Solving 20 = 44 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 20 + -4q = 44 + 4q + -4q Combine like terms: 4q + -4q = 0 20 + -4q = 44 + 0 20 + -4q = 44 Add '-20' to each side of the equation. 20 + -20 + -4q = 44 + -20 Combine like terms: 20 + -20 = 0 0 + -4q = 44 + -20 -4q = 44 + -20 Combine like terms: 44 + -20 = 24 -4q = 24 Divide each side by '-4'. q = -6 Simplifying q = -6
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