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Simplifying 32 + -4q = 10q + -115 Reorder the terms: 32 + -4q = -115 + 10q Solving 32 + -4q = -115 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 32 + -4q + -10q = -115 + 10q + -10q Combine like terms: -4q + -10q = -14q 32 + -14q = -115 + 10q + -10q Combine like terms: 10q + -10q = 0 32 + -14q = -115 + 0 32 + -14q = -115 Add '-32' to each side of the equation. 32 + -32 + -14q = -115 + -32 Combine like terms: 32 + -32 = 0 0 + -14q = -115 + -32 -14q = -115 + -32 Combine like terms: -115 + -32 = -147 -14q = -147 Divide each side by '-14'. q = 10.5 Simplifying q = 10.5
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