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Simplifying -1 + 10q + -5q = 8q + -19 Combine like terms: 10q + -5q = 5q -1 + 5q = 8q + -19 Reorder the terms: -1 + 5q = -19 + 8q Solving -1 + 5q = -19 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -1 + 5q + -8q = -19 + 8q + -8q Combine like terms: 5q + -8q = -3q -1 + -3q = -19 + 8q + -8q Combine like terms: 8q + -8q = 0 -1 + -3q = -19 + 0 -1 + -3q = -19 Add '1' to each side of the equation. -1 + 1 + -3q = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -3q = -19 + 1 -3q = -19 + 1 Combine like terms: -19 + 1 = -18 -3q = -18 Divide each side by '-3'. q = 6 Simplifying q = 6
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