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Simplifying -3 + -11q = -2q + -0.5(4q + -2) Reorder the terms: -3 + -11q = -2q + -0.5(-2 + 4q) -3 + -11q = -2q + (-2 * -0.5 + 4q * -0.5) -3 + -11q = -2q + (1 + -2q) Reorder the terms: -3 + -11q = 1 + -2q + -2q Combine like terms: -2q + -2q = -4q -3 + -11q = 1 + -4q Solving -3 + -11q = 1 + -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. -3 + -11q + 4q = 1 + -4q + 4q Combine like terms: -11q + 4q = -7q -3 + -7q = 1 + -4q + 4q Combine like terms: -4q + 4q = 0 -3 + -7q = 1 + 0 -3 + -7q = 1 Add '3' to each side of the equation. -3 + 3 + -7q = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -7q = 1 + 3 -7q = 1 + 3 Combine like terms: 1 + 3 = 4 -7q = 4 Divide each side by '-7'. q = -0.5714285714 Simplifying q = -0.5714285714
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