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Simplifying 2(4 + -1q) + -1(-2)(q + -5) = -1(3q + -4) (4 * 2 + -1q * 2) + -1(-2)(q + -5) = -1(3q + -4) (8 + -2q) + -1(-2)(q + -5) = -1(3q + -4) Reorder the terms: 8 + -2q + -1 * -2(-5 + q) = -1(3q + -4) Multiply -1 * -2 8 + -2q + 2(-5 + q) = -1(3q + -4) 8 + -2q + (-5 * 2 + q * 2) = -1(3q + -4) 8 + -2q + (-10 + 2q) = -1(3q + -4) Reorder the terms: 8 + -10 + -2q + 2q = -1(3q + -4) Combine like terms: 8 + -10 = -2 -2 + -2q + 2q = -1(3q + -4) Combine like terms: -2q + 2q = 0 -2 + 0 = -1(3q + -4) -2 = -1(3q + -4) Reorder the terms: -2 = -1(-4 + 3q) -2 = (-4 * -1 + 3q * -1) -2 = (4 + -3q) Solving -2 = 4 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. -2 + 3q = 4 + -3q + 3q Combine like terms: -3q + 3q = 0 -2 + 3q = 4 + 0 -2 + 3q = 4 Add '2' to each side of the equation. -2 + 2 + 3q = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3q = 4 + 2 3q = 4 + 2 Combine like terms: 4 + 2 = 6 3q = 6 Divide each side by '3'. q = 2 Simplifying q = 2
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