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Simplifying 7q + 4(-7q + 9) = -17q Reorder the terms: 7q + 4(9 + -7q) = -17q 7q + (9 * 4 + -7q * 4) = -17q 7q + (36 + -28q) = -17q Reorder the terms: 36 + 7q + -28q = -17q Combine like terms: 7q + -28q = -21q 36 + -21q = -17q Solving 36 + -21q = -17q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '17q' to each side of the equation. 36 + -21q + 17q = -17q + 17q Combine like terms: -21q + 17q = -4q 36 + -4q = -17q + 17q Combine like terms: -17q + 17q = 0 36 + -4q = 0 Add '-36' to each side of the equation. 36 + -36 + -4q = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4q = 0 + -36 -4q = 0 + -36 Combine like terms: 0 + -36 = -36 -4q = -36 Divide each side by '-4'. q = 9 Simplifying q = 9
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