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Simplifying 5(2q + -11) = 7(q + 2) Reorder the terms: 5(-11 + 2q) = 7(q + 2) (-11 * 5 + 2q * 5) = 7(q + 2) (-55 + 10q) = 7(q + 2) Reorder the terms: -55 + 10q = 7(2 + q) -55 + 10q = (2 * 7 + q * 7) -55 + 10q = (14 + 7q) Solving -55 + 10q = 14 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -55 + 10q + -7q = 14 + 7q + -7q Combine like terms: 10q + -7q = 3q -55 + 3q = 14 + 7q + -7q Combine like terms: 7q + -7q = 0 -55 + 3q = 14 + 0 -55 + 3q = 14 Add '55' to each side of the equation. -55 + 55 + 3q = 14 + 55 Combine like terms: -55 + 55 = 0 0 + 3q = 14 + 55 3q = 14 + 55 Combine like terms: 14 + 55 = 69 3q = 69 Divide each side by '3'. q = 23 Simplifying q = 23
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