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Simplifying 42 = 8q + 10 Reorder the terms: 42 = 10 + 8q Solving 42 = 10 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 42 + -8q = 10 + 8q + -8q Combine like terms: 8q + -8q = 0 42 + -8q = 10 + 0 42 + -8q = 10 Add '-42' to each side of the equation. 42 + -42 + -8q = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -8q = 10 + -42 -8q = 10 + -42 Combine like terms: 10 + -42 = -32 -8q = -32 Divide each side by '-8'. q = 4 Simplifying q = 4
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