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Simplifying 10 + 8q = 100 + -2q Solving 10 + 8q = 100 + -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. 10 + 8q + 2q = 100 + -2q + 2q Combine like terms: 8q + 2q = 10q 10 + 10q = 100 + -2q + 2q Combine like terms: -2q + 2q = 0 10 + 10q = 100 + 0 10 + 10q = 100 Add '-10' to each side of the equation. 10 + -10 + 10q = 100 + -10 Combine like terms: 10 + -10 = 0 0 + 10q = 100 + -10 10q = 100 + -10 Combine like terms: 100 + -10 = 90 10q = 90 Divide each side by '10'. q = 9 Simplifying q = 9
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