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Simplifying 34q + -8 = 71q + -82 Reorder the terms: -8 + 34q = 71q + -82 Reorder the terms: -8 + 34q = -82 + 71q Solving -8 + 34q = -82 + 71q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-71q' to each side of the equation. -8 + 34q + -71q = -82 + 71q + -71q Combine like terms: 34q + -71q = -37q -8 + -37q = -82 + 71q + -71q Combine like terms: 71q + -71q = 0 -8 + -37q = -82 + 0 -8 + -37q = -82 Add '8' to each side of the equation. -8 + 8 + -37q = -82 + 8 Combine like terms: -8 + 8 = 0 0 + -37q = -82 + 8 -37q = -82 + 8 Combine like terms: -82 + 8 = -74 -37q = -74 Divide each side by '-37'. q = 2 Simplifying q = 2
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