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Simplifying 100 + -4q = 10 + 2q Solving 100 + -4q = 10 + 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. 100 + -4q + -2q = 10 + 2q + -2q Combine like terms: -4q + -2q = -6q 100 + -6q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 100 + -6q = 10 + 0 100 + -6q = 10 Add '-100' to each side of the equation. 100 + -100 + -6q = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -6q = 10 + -100 -6q = 10 + -100 Combine like terms: 10 + -100 = -90 -6q = -90 Divide each side by '-6'. q = 15 Simplifying q = 15
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