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Simplifying -4 + 2q + -19q + 3 = 22q + -25q + 7 Reorder the terms: -4 + 3 + 2q + -19q = 22q + -25q + 7 Combine like terms: -4 + 3 = -1 -1 + 2q + -19q = 22q + -25q + 7 Combine like terms: 2q + -19q = -17q -1 + -17q = 22q + -25q + 7 Reorder the terms: -1 + -17q = 7 + 22q + -25q Combine like terms: 22q + -25q = -3q -1 + -17q = 7 + -3q Solving -1 + -17q = 7 + -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. -1 + -17q + 3q = 7 + -3q + 3q Combine like terms: -17q + 3q = -14q -1 + -14q = 7 + -3q + 3q Combine like terms: -3q + 3q = 0 -1 + -14q = 7 + 0 -1 + -14q = 7 Add '1' to each side of the equation. -1 + 1 + -14q = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -14q = 7 + 1 -14q = 7 + 1 Combine like terms: 7 + 1 = 8 -14q = 8 Divide each side by '-14'. q = -0.5714285714 Simplifying q = -0.5714285714
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