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Simplifying 45 = 100 + -2q Solving 45 = 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. 45 + 2q = 100 + -2q + 2q Combine like terms: -2q + 2q = 0 45 + 2q = 100 + 0 45 + 2q = 100 Add '-45' to each side of the equation. 45 + -45 + 2q = 100 + -45 Combine like terms: 45 + -45 = 0 0 + 2q = 100 + -45 2q = 100 + -45 Combine like terms: 100 + -45 = 55 2q = 55 Divide each side by '2'. q = 27.5 Simplifying q = 27.5
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