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Simplifying 7q + 23 = 15q + -33 Reorder the terms: 23 + 7q = 15q + -33 Reorder the terms: 23 + 7q = -33 + 15q Solving 23 + 7q = -33 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. 23 + 7q + -15q = -33 + 15q + -15q Combine like terms: 7q + -15q = -8q 23 + -8q = -33 + 15q + -15q Combine like terms: 15q + -15q = 0 23 + -8q = -33 + 0 23 + -8q = -33 Add '-23' to each side of the equation. 23 + -23 + -8q = -33 + -23 Combine like terms: 23 + -23 = 0 0 + -8q = -33 + -23 -8q = -33 + -23 Combine like terms: -33 + -23 = -56 -8q = -56 Divide each side by '-8'. q = 7 Simplifying q = 7
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