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Simplifying 10q + -41 = 3q + -6 Reorder the terms: -41 + 10q = 3q + -6 Reorder the terms: -41 + 10q = -6 + 3q Solving -41 + 10q = -6 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -41 + 10q + -3q = -6 + 3q + -3q Combine like terms: 10q + -3q = 7q -41 + 7q = -6 + 3q + -3q Combine like terms: 3q + -3q = 0 -41 + 7q = -6 + 0 -41 + 7q = -6 Add '41' to each side of the equation. -41 + 41 + 7q = -6 + 41 Combine like terms: -41 + 41 = 0 0 + 7q = -6 + 41 7q = -6 + 41 Combine like terms: -6 + 41 = 35 7q = 35 Divide each side by '7'. q = 5 Simplifying q = 5
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