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Simplifying -5q + (-6)(1 + -1q) = -2 + 0(1 + -1q) -5q + (1 * -6 + -1q * -6) = -2 + 0(1 + -1q) -5q + (-6 + 6q) = -2 + 0(1 + -1q) Reorder the terms: -6 + -5q + 6q = -2 + 0(1 + -1q) Combine like terms: -5q + 6q = 1q -6 + 1q = -2 + 0(1 + -1q) Anything times zero is zero. -6 + 1q = -2 + 0(1 + -1q) Combine like terms: -2 + 0 = -2 -6 + 1q = -2 Solving -6 + 1q = -2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1q = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 1q = -2 + 6 1q = -2 + 6 Combine like terms: -2 + 6 = 4 1q = 4 Divide each side by '1'. q = 4 Simplifying q = 4
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