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Simplifying 49 = 9(3q + 5) + -1(7q + -4) Reorder the terms: 49 = 9(5 + 3q) + -1(7q + -4) 49 = (5 * 9 + 3q * 9) + -1(7q + -4) 49 = (45 + 27q) + -1(7q + -4) Reorder the terms: 49 = 45 + 27q + -1(-4 + 7q) 49 = 45 + 27q + (-4 * -1 + 7q * -1) 49 = 45 + 27q + (4 + -7q) Reorder the terms: 49 = 45 + 4 + 27q + -7q Combine like terms: 45 + 4 = 49 49 = 49 + 27q + -7q Combine like terms: 27q + -7q = 20q 49 = 49 + 20q Add '-49' to each side of the equation. 49 + -49 = 49 + -49 + 20q Combine like terms: 49 + -49 = 0 0 = 49 + -49 + 20q Combine like terms: 49 + -49 = 0 0 = 0 + 20q 0 = 20q Solving 0 = 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. 0 + -20q = 20q + -20q Remove the zero: -20q = 20q + -20q Combine like terms: 20q + -20q = 0 -20q = 0 Divide each side by '-20'. q = 0 Simplifying q = 0
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