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Simplifying 15 + -10 + 5q = -19 + 3q Combine like terms: 15 + -10 = 5 5 + 5q = -19 + 3q Solving 5 + 5q = -19 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 5 + 5q + -3q = -19 + 3q + -3q Combine like terms: 5q + -3q = 2q 5 + 2q = -19 + 3q + -3q Combine like terms: 3q + -3q = 0 5 + 2q = -19 + 0 5 + 2q = -19 Add '-5' to each side of the equation. 5 + -5 + 2q = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 2q = -19 + -5 2q = -19 + -5 Combine like terms: -19 + -5 = -24 2q = -24 Divide each side by '2'. q = -12 Simplifying q = -12
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