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Simplifying 100 + -2q = 30 + 3q Solving 100 + -2q = 30 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 100 + -2q + -3q = 30 + 3q + -3q Combine like terms: -2q + -3q = -5q 100 + -5q = 30 + 3q + -3q Combine like terms: 3q + -3q = 0 100 + -5q = 30 + 0 100 + -5q = 30 Add '-100' to each side of the equation. 100 + -100 + -5q = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -5q = 30 + -100 -5q = 30 + -100 Combine like terms: 30 + -100 = -70 -5q = -70 Divide each side by '-5'. q = 14 Simplifying q = 14
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