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Simplifying 10 = 3q + 1 Reorder the terms: 10 = 1 + 3q Solving 10 = 1 + 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. 10 + -3q = 1 + 3q + -3q Combine like terms: 3q + -3q = 0 10 + -3q = 1 + 0 10 + -3q = 1 Add '-10' to each side of the equation. 10 + -10 + -3q = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3q = 1 + -10 -3q = 1 + -10 Combine like terms: 1 + -10 = -9 -3q = -9 Divide each side by '-3'. q = 3 Simplifying q = 3
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