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Simplifying 5(q + -1) + 7q = 5 + 10q Reorder the terms: 5(-1 + q) + 7q = 5 + 10q (-1 * 5 + q * 5) + 7q = 5 + 10q (-5 + 5q) + 7q = 5 + 10q Combine like terms: 5q + 7q = 12q -5 + 12q = 5 + 10q Solving -5 + 12q = 5 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -5 + 12q + -10q = 5 + 10q + -10q Combine like terms: 12q + -10q = 2q -5 + 2q = 5 + 10q + -10q Combine like terms: 10q + -10q = 0 -5 + 2q = 5 + 0 -5 + 2q = 5 Add '5' to each side of the equation. -5 + 5 + 2q = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2q = 5 + 5 2q = 5 + 5 Combine like terms: 5 + 5 = 10 2q = 10 Divide each side by '2'. q = 5 Simplifying q = 5
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