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Simplifying 3q + -16q = 8 + 2(-8q + -3) Combine like terms: 3q + -16q = -13q -13q = 8 + 2(-8q + -3) Reorder the terms: -13q = 8 + 2(-3 + -8q) -13q = 8 + (-3 * 2 + -8q * 2) -13q = 8 + (-6 + -16q) Combine like terms: 8 + -6 = 2 -13q = 2 + -16q Solving -13q = 2 + -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. -13q + 16q = 2 + -16q + 16q Combine like terms: -13q + 16q = 3q 3q = 2 + -16q + 16q Combine like terms: -16q + 16q = 0 3q = 2 + 0 3q = 2 Divide each side by '3'. q = 0.6666666667 Simplifying q = 0.6666666667
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