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Simplifying -2 + -7q = -1(2q + -4) Reorder the terms: -2 + -7q = -1(-4 + 2q) -2 + -7q = (-4 * -1 + 2q * -1) -2 + -7q = (4 + -2q) Solving -2 + -7q = 4 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -2 + -7q + 2q = 4 + -2q + 2q Combine like terms: -7q + 2q = -5q -2 + -5q = 4 + -2q + 2q Combine like terms: -2q + 2q = 0 -2 + -5q = 4 + 0 -2 + -5q = 4 Add '2' to each side of the equation. -2 + 2 + -5q = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -5q = 4 + 2 -5q = 4 + 2 Combine like terms: 4 + 2 = 6 -5q = 6 Divide each side by '-5'. q = -1.2 Simplifying q = -1.2
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