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Simplifying 5(2q + -1) = 2(q + 3) Reorder the terms: 5(-1 + 2q) = 2(q + 3) (-1 * 5 + 2q * 5) = 2(q + 3) (-5 + 10q) = 2(q + 3) Reorder the terms: -5 + 10q = 2(3 + q) -5 + 10q = (3 * 2 + q * 2) -5 + 10q = (6 + 2q) Solving -5 + 10q = 6 + 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 + 10q + -2q = 6 + 2q + -2q Combine like terms: 10q + -2q = 8q -5 + 8q = 6 + 2q + -2q Combine like terms: 2q + -2q = 0 -5 + 8q = 6 + 0 -5 + 8q = 6 Add '5' to each side of the equation. -5 + 5 + 8q = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 8q = 6 + 5 8q = 6 + 5 Combine like terms: 6 + 5 = 11 8q = 11 Divide each side by '8'. q = 1.375 Simplifying q = 1.375
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