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Simplifying 4[4 + -5(2 + -1q)] = 2 + -3(3q + 4) 4[4 + (2 * -5 + -1q * -5)] = 2 + -3(3q + 4) 4[4 + (-10 + 5q)] = 2 + -3(3q + 4) Combine like terms: 4 + -10 = -6 4[-6 + 5q] = 2 + -3(3q + 4) [-6 * 4 + 5q * 4] = 2 + -3(3q + 4) [-24 + 20q] = 2 + -3(3q + 4) Reorder the terms: -24 + 20q = 2 + -3(4 + 3q) -24 + 20q = 2 + (4 * -3 + 3q * -3) -24 + 20q = 2 + (-12 + -9q) Combine like terms: 2 + -12 = -10 -24 + 20q = -10 + -9q Solving -24 + 20q = -10 + -9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9q' to each side of the equation. -24 + 20q + 9q = -10 + -9q + 9q Combine like terms: 20q + 9q = 29q -24 + 29q = -10 + -9q + 9q Combine like terms: -9q + 9q = 0 -24 + 29q = -10 + 0 -24 + 29q = -10 Add '24' to each side of the equation. -24 + 24 + 29q = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 29q = -10 + 24 29q = -10 + 24 Combine like terms: -10 + 24 = 14 29q = 14 Divide each side by '29'. q = 0.4827586207 Simplifying q = 0.4827586207
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