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Simplifying -5q + -2(1 + -1q) = -6q + 0(1 + -1q) -5q + (1 * -2 + -1q * -2) = -6q + 0(1 + -1q) -5q + (-2 + 2q) = -6q + 0(1 + -1q) Reorder the terms: -2 + -5q + 2q = -6q + 0(1 + -1q) Combine like terms: -5q + 2q = -3q -2 + -3q = -6q + 0(1 + -1q) Anything times zero is zero. -2 + -3q = -6q + 0(1 + -1q) Reorder the terms: -2 + -3q = 0 + -6q Remove the zero: -2 + -3q = -6q Solving -2 + -3q = -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -2 + -3q + 6q = -6q + 6q Combine like terms: -3q + 6q = 3q -2 + 3q = -6q + 6q Combine like terms: -6q + 6q = 0 -2 + 3q = 0 Add '2' to each side of the equation. -2 + 2 + 3q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3q = 0 + 2 3q = 0 + 2 Combine like terms: 0 + 2 = 2 3q = 2 Divide each side by '3'. q = 0.6666666667 Simplifying q = 0.6666666667
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