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Simplifying 46 = 10q + -154 Reorder the terms: 46 = -154 + 10q Solving 46 = -154 + 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. 46 + -10q = -154 + 10q + -10q Combine like terms: 10q + -10q = 0 46 + -10q = -154 + 0 46 + -10q = -154 Add '-46' to each side of the equation. 46 + -46 + -10q = -154 + -46 Combine like terms: 46 + -46 = 0 0 + -10q = -154 + -46 -10q = -154 + -46 Combine like terms: -154 + -46 = -200 -10q = -200 Divide each side by '-10'. q = 20 Simplifying q = 20
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