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Simplifying 7q + -201 = 6(4 + -3q) Reorder the terms: -201 + 7q = 6(4 + -3q) -201 + 7q = (4 * 6 + -3q * 6) -201 + 7q = (24 + -18q) Solving -201 + 7q = 24 + -18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18q' to each side of the equation. -201 + 7q + 18q = 24 + -18q + 18q Combine like terms: 7q + 18q = 25q -201 + 25q = 24 + -18q + 18q Combine like terms: -18q + 18q = 0 -201 + 25q = 24 + 0 -201 + 25q = 24 Add '201' to each side of the equation. -201 + 201 + 25q = 24 + 201 Combine like terms: -201 + 201 = 0 0 + 25q = 24 + 201 25q = 24 + 201 Combine like terms: 24 + 201 = 225 25q = 225 Divide each side by '25'. q = 9 Simplifying q = 9
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