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Simplifying 4(3q + -2) = 11q Reorder the terms: 4(-2 + 3q) = 11q (-2 * 4 + 3q * 4) = 11q (-8 + 12q) = 11q Solving -8 + 12q = 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. -8 + 12q + -11q = 11q + -11q Combine like terms: 12q + -11q = 1q -8 + 1q = 11q + -11q Combine like terms: 11q + -11q = 0 -8 + 1q = 0 Add '8' to each side of the equation. -8 + 8 + 1q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1q = 0 + 8 1q = 0 + 8 Combine like terms: 0 + 8 = 8 1q = 8 Divide each side by '1'. q = 8 Simplifying q = 8
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