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Simplifying q + -1 = 5q + 3q + -8 Reorder the terms: -1 + q = 5q + 3q + -8 Reorder the terms: -1 + q = -8 + 5q + 3q Combine like terms: 5q + 3q = 8q -1 + q = -8 + 8q Solving -1 + q = -8 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -1 + q + -8q = -8 + 8q + -8q Combine like terms: q + -8q = -7q -1 + -7q = -8 + 8q + -8q Combine like terms: 8q + -8q = 0 -1 + -7q = -8 + 0 -1 + -7q = -8 Add '1' to each side of the equation. -1 + 1 + -7q = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -7q = -8 + 1 -7q = -8 + 1 Combine like terms: -8 + 1 = -7 -7q = -7 Divide each side by '-7'. q = 1 Simplifying q = 1
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