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Simplifying q + -8 = 2q + -46 Reorder the terms: -8 + q = 2q + -46 Reorder the terms: -8 + q = -46 + 2q Solving -8 + q = -46 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -8 + q + -2q = -46 + 2q + -2q Combine like terms: q + -2q = -1q -8 + -1q = -46 + 2q + -2q Combine like terms: 2q + -2q = 0 -8 + -1q = -46 + 0 -8 + -1q = -46 Add '8' to each side of the equation. -8 + 8 + -1q = -46 + 8 Combine like terms: -8 + 8 = 0 0 + -1q = -46 + 8 -1q = -46 + 8 Combine like terms: -46 + 8 = -38 -1q = -38 Divide each side by '-1'. q = 38 Simplifying q = 38
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