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Simplifying 7q + -79 = 2(3 + -5q) Reorder the terms: -79 + 7q = 2(3 + -5q) -79 + 7q = (3 * 2 + -5q * 2) -79 + 7q = (6 + -10q) Solving -79 + 7q = 6 + -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. -79 + 7q + 10q = 6 + -10q + 10q Combine like terms: 7q + 10q = 17q -79 + 17q = 6 + -10q + 10q Combine like terms: -10q + 10q = 0 -79 + 17q = 6 + 0 -79 + 17q = 6 Add '79' to each side of the equation. -79 + 79 + 17q = 6 + 79 Combine like terms: -79 + 79 = 0 0 + 17q = 6 + 79 17q = 6 + 79 Combine like terms: 6 + 79 = 85 17q = 85 Divide each side by '17'. q = 5 Simplifying q = 5
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