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Simplifying 47q + -2 = 61q + -86 Reorder the terms: -2 + 47q = 61q + -86 Reorder the terms: -2 + 47q = -86 + 61q Solving -2 + 47q = -86 + 61q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-61q' to each side of the equation. -2 + 47q + -61q = -86 + 61q + -61q Combine like terms: 47q + -61q = -14q -2 + -14q = -86 + 61q + -61q Combine like terms: 61q + -61q = 0 -2 + -14q = -86 + 0 -2 + -14q = -86 Add '2' to each side of the equation. -2 + 2 + -14q = -86 + 2 Combine like terms: -2 + 2 = 0 0 + -14q = -86 + 2 -14q = -86 + 2 Combine like terms: -86 + 2 = -84 -14q = -84 Divide each side by '-14'. q = 6 Simplifying q = 6
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