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Simplifying -8q + 6 = -7 + -10q + -1 Reorder the terms: 6 + -8q = -7 + -10q + -1 Reorder the terms: 6 + -8q = -7 + -1 + -10q Combine like terms: -7 + -1 = -8 6 + -8q = -8 + -10q Solving 6 + -8q = -8 + -10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10q' to each side of the equation. 6 + -8q + 10q = -8 + -10q + 10q Combine like terms: -8q + 10q = 2q 6 + 2q = -8 + -10q + 10q Combine like terms: -10q + 10q = 0 6 + 2q = -8 + 0 6 + 2q = -8 Add '-6' to each side of the equation. 6 + -6 + 2q = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2q = -8 + -6 2q = -8 + -6 Combine like terms: -8 + -6 = -14 2q = -14 Divide each side by '2'. q = -7 Simplifying q = -7
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