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Simplifying 3q + 16q = 7 + 2(-8q + -3) Combine like terms: 3q + 16q = 19q 19q = 7 + 2(-8q + -3) Reorder the terms: 19q = 7 + 2(-3 + -8q) 19q = 7 + (-3 * 2 + -8q * 2) 19q = 7 + (-6 + -16q) Combine like terms: 7 + -6 = 1 19q = 1 + -16q Solving 19q = 1 + -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. 19q + 16q = 1 + -16q + 16q Combine like terms: 19q + 16q = 35q 35q = 1 + -16q + 16q Combine like terms: -16q + 16q = 0 35q = 1 + 0 35q = 1 Divide each side by '35'. q = 0.02857142857 Simplifying q = 0.02857142857
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