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Simplifying 5q + -16q + 2q + -1(-19) = 1 Multiply -1 * -19 5q + -16q + 2q + 19 = 1 Reorder the terms: 19 + 5q + -16q + 2q = 1 Combine like terms: 5q + -16q = -11q 19 + -11q + 2q = 1 Combine like terms: -11q + 2q = -9q 19 + -9q = 1 Solving 19 + -9q = 1 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -9q = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -9q = 1 + -19 -9q = 1 + -19 Combine like terms: 1 + -19 = -18 -9q = -18 Divide each side by '-9'. q = 2 Simplifying q = 2
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