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Simplifying 6q + 15 + 16q = -9 + 19q Reorder the terms: 15 + 6q + 16q = -9 + 19q Combine like terms: 6q + 16q = 22q 15 + 22q = -9 + 19q Solving 15 + 22q = -9 + 19q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19q' to each side of the equation. 15 + 22q + -19q = -9 + 19q + -19q Combine like terms: 22q + -19q = 3q 15 + 3q = -9 + 19q + -19q Combine like terms: 19q + -19q = 0 15 + 3q = -9 + 0 15 + 3q = -9 Add '-15' to each side of the equation. 15 + -15 + 3q = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 3q = -9 + -15 3q = -9 + -15 Combine like terms: -9 + -15 = -24 3q = -24 Divide each side by '3'. q = -8 Simplifying q = -8
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