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Simplifying 49q + -31 = 57q + -95 Reorder the terms: -31 + 49q = 57q + -95 Reorder the terms: -31 + 49q = -95 + 57q Solving -31 + 49q = -95 + 57q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-57q' to each side of the equation. -31 + 49q + -57q = -95 + 57q + -57q Combine like terms: 49q + -57q = -8q -31 + -8q = -95 + 57q + -57q Combine like terms: 57q + -57q = 0 -31 + -8q = -95 + 0 -31 + -8q = -95 Add '31' to each side of the equation. -31 + 31 + -8q = -95 + 31 Combine like terms: -31 + 31 = 0 0 + -8q = -95 + 31 -8q = -95 + 31 Combine like terms: -95 + 31 = -64 -8q = -64 Divide each side by '-8'. q = 8 Simplifying q = 8
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