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Simplifying -4q + -10 = 10 + -2 + -6q Reorder the terms: -10 + -4q = 10 + -2 + -6q Combine like terms: 10 + -2 = 8 -10 + -4q = 8 + -6q Solving -10 + -4q = 8 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -10 + -4q + 6q = 8 + -6q + 6q Combine like terms: -4q + 6q = 2q -10 + 2q = 8 + -6q + 6q Combine like terms: -6q + 6q = 0 -10 + 2q = 8 + 0 -10 + 2q = 8 Add '10' to each side of the equation. -10 + 10 + 2q = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2q = 8 + 10 2q = 8 + 10 Combine like terms: 8 + 10 = 18 2q = 18 Divide each side by '2'. q = 9 Simplifying q = 9
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