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Simplifying 0q + -5(1 + -1q) = -10q + 0(1 + -1q) Anything times zero is zero. 0q + -5(1 + -1q) = -10q + 0(1 + -1q) 0 + (1 * -5 + -1q * -5) = -10q + 0(1 + -1q) 0 + (-5 + 5q) = -10q + 0(1 + -1q) Combine like terms: 0 + -5 = -5 -5 + 5q = -10q + 0(1 + -1q) Anything times zero is zero. -5 + 5q = -10q + 0(1 + -1q) Reorder the terms: -5 + 5q = 0 + -10q Remove the zero: -5 + 5q = -10q Solving -5 + 5q = -10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10q' to each side of the equation. -5 + 5q + 10q = -10q + 10q Combine like terms: 5q + 10q = 15q -5 + 15q = -10q + 10q Combine like terms: -10q + 10q = 0 -5 + 15q = 0 Add '5' to each side of the equation. -5 + 5 + 15q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 15q = 0 + 5 15q = 0 + 5 Combine like terms: 0 + 5 = 5 15q = 5 Divide each side by '15'. q = 0.3333333333 Simplifying q = 0.3333333333
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