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Simplifying -12q + -17q + 19q + 5q + -10 = 15 Reorder the terms: -10 + -12q + -17q + 19q + 5q = 15 Combine like terms: -12q + -17q = -29q -10 + -29q + 19q + 5q = 15 Combine like terms: -29q + 19q = -10q -10 + -10q + 5q = 15 Combine like terms: -10q + 5q = -5q -10 + -5q = 15 Solving -10 + -5q = 15 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -5q = 15 + 10 Combine like terms: -10 + 10 = 0 0 + -5q = 15 + 10 -5q = 15 + 10 Combine like terms: 15 + 10 = 25 -5q = 25 Divide each side by '-5'. q = -5 Simplifying q = -5
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