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Simplifying 49q + -40 = 66q + -74 Reorder the terms: -40 + 49q = 66q + -74 Reorder the terms: -40 + 49q = -74 + 66q Solving -40 + 49q = -74 + 66q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-66q' to each side of the equation. -40 + 49q + -66q = -74 + 66q + -66q Combine like terms: 49q + -66q = -17q -40 + -17q = -74 + 66q + -66q Combine like terms: 66q + -66q = 0 -40 + -17q = -74 + 0 -40 + -17q = -74 Add '40' to each side of the equation. -40 + 40 + -17q = -74 + 40 Combine like terms: -40 + 40 = 0 0 + -17q = -74 + 40 -17q = -74 + 40 Combine like terms: -74 + 40 = -34 -17q = -34 Divide each side by '-17'. q = 2 Simplifying q = 2
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