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Simplifying 4(q + -5) = 2q + -1 Reorder the terms: 4(-5 + q) = 2q + -1 (-5 * 4 + q * 4) = 2q + -1 (-20 + 4q) = 2q + -1 Reorder the terms: -20 + 4q = -1 + 2q Solving -20 + 4q = -1 + 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. -20 + 4q + -2q = -1 + 2q + -2q Combine like terms: 4q + -2q = 2q -20 + 2q = -1 + 2q + -2q Combine like terms: 2q + -2q = 0 -20 + 2q = -1 + 0 -20 + 2q = -1 Add '20' to each side of the equation. -20 + 20 + 2q = -1 + 20 Combine like terms: -20 + 20 = 0 0 + 2q = -1 + 20 2q = -1 + 20 Combine like terms: -1 + 20 = 19 2q = 19 Divide each side by '2'. q = 9.5 Simplifying q = 9.5
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