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Simplifying 4(3q + -5) + -1q = -1q + 16 Reorder the terms: 4(-5 + 3q) + -1q = -1q + 16 (-5 * 4 + 3q * 4) + -1q = -1q + 16 (-20 + 12q) + -1q = -1q + 16 Combine like terms: 12q + -1q = 11q -20 + 11q = -1q + 16 Reorder the terms: -20 + 11q = 16 + -1q Solving -20 + 11q = 16 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -20 + 11q + q = 16 + -1q + q Combine like terms: 11q + q = 12q -20 + 12q = 16 + -1q + q Combine like terms: -1q + q = 0 -20 + 12q = 16 + 0 -20 + 12q = 16 Add '20' to each side of the equation. -20 + 20 + 12q = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 12q = 16 + 20 12q = 16 + 20 Combine like terms: 16 + 20 = 36 12q = 36 Divide each side by '12'. q = 3 Simplifying q = 3
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