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Simplifying 8q + -6(2q + -10) = 11q Reorder the terms: 8q + -6(-10 + 2q) = 11q 8q + (-10 * -6 + 2q * -6) = 11q 8q + (60 + -12q) = 11q Reorder the terms: 60 + 8q + -12q = 11q Combine like terms: 8q + -12q = -4q 60 + -4q = 11q Solving 60 + -4q = 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. 60 + -4q + -11q = 11q + -11q Combine like terms: -4q + -11q = -15q 60 + -15q = 11q + -11q Combine like terms: 11q + -11q = 0 60 + -15q = 0 Add '-60' to each side of the equation. 60 + -60 + -15q = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -15q = 0 + -60 -15q = 0 + -60 Combine like terms: 0 + -60 = -60 -15q = -60 Divide each side by '-15'. q = 4 Simplifying q = 4
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