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Simplifying 5(4q + -1) = 2q + 7 Reorder the terms: 5(-1 + 4q) = 2q + 7 (-1 * 5 + 4q * 5) = 2q + 7 (-5 + 20q) = 2q + 7 Reorder the terms: -5 + 20q = 7 + 2q Solving -5 + 20q = 7 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -5 + 20q + -2q = 7 + 2q + -2q Combine like terms: 20q + -2q = 18q -5 + 18q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 -5 + 18q = 7 + 0 -5 + 18q = 7 Add '5' to each side of the equation. -5 + 5 + 18q = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 18q = 7 + 5 18q = 7 + 5 Combine like terms: 7 + 5 = 12 18q = 12 Divide each side by '18'. q = 0.6666666667 Simplifying q = 0.6666666667
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