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Simplifying 15q + -3q + -19q + -2q + q + -1 = 2 Reorder the terms: -1 + 15q + -3q + -19q + -2q + q = 2 Combine like terms: 15q + -3q = 12q -1 + 12q + -19q + -2q + q = 2 Combine like terms: 12q + -19q = -7q -1 + -7q + -2q + q = 2 Combine like terms: -7q + -2q = -9q -1 + -9q + q = 2 Combine like terms: -9q + q = -8q -1 + -8q = 2 Solving -1 + -8q = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8q = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -8q = 2 + 1 -8q = 2 + 1 Combine like terms: 2 + 1 = 3 -8q = 3 Divide each side by '-8'. q = -0.375 Simplifying q = -0.375
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