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Simplifying 3q + -7 = 7q + -31 Reorder the terms: -7 + 3q = 7q + -31 Reorder the terms: -7 + 3q = -31 + 7q Solving -7 + 3q = -31 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -7 + 3q + -7q = -31 + 7q + -7q Combine like terms: 3q + -7q = -4q -7 + -4q = -31 + 7q + -7q Combine like terms: 7q + -7q = 0 -7 + -4q = -31 + 0 -7 + -4q = -31 Add '7' to each side of the equation. -7 + 7 + -4q = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -4q = -31 + 7 -4q = -31 + 7 Combine like terms: -31 + 7 = -24 -4q = -24 Divide each side by '-4'. q = 6 Simplifying q = 6
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