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Simplifying -1q + -10 = 4q + -8q + 5 Reorder the terms: -10 + -1q = 4q + -8q + 5 Reorder the terms: -10 + -1q = 5 + 4q + -8q Combine like terms: 4q + -8q = -4q -10 + -1q = 5 + -4q Solving -10 + -1q = 5 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. -10 + -1q + 4q = 5 + -4q + 4q Combine like terms: -1q + 4q = 3q -10 + 3q = 5 + -4q + 4q Combine like terms: -4q + 4q = 0 -10 + 3q = 5 + 0 -10 + 3q = 5 Add '10' to each side of the equation. -10 + 10 + 3q = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3q = 5 + 10 3q = 5 + 10 Combine like terms: 5 + 10 = 15 3q = 15 Divide each side by '3'. q = 5 Simplifying q = 5
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