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Simplifying 1 = 4q + -31 Reorder the terms: 1 = -31 + 4q Solving 1 = -31 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 1 + -4q = -31 + 4q + -4q Combine like terms: 4q + -4q = 0 1 + -4q = -31 + 0 1 + -4q = -31 Add '-1' to each side of the equation. 1 + -1 + -4q = -31 + -1 Combine like terms: 1 + -1 = 0 0 + -4q = -31 + -1 -4q = -31 + -1 Combine like terms: -31 + -1 = -32 -4q = -32 Divide each side by '-4'. q = 8 Simplifying q = 8
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