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Simplifying [-3q + -1(-1q + -2)] + (4q + 8) + 3 = 0 Reorder the terms: [-3q + -1(-2 + -1q)] + (4q + 8) + 3 = 0 [-3q + (-2 * -1 + -1q * -1)] + (4q + 8) + 3 = 0 [-3q + (2 + 1q)] + (4q + 8) + 3 = 0 Reorder the terms: [2 + -3q + 1q] + (4q + 8) + 3 = 0 Combine like terms: -3q + 1q = -2q [2 + -2q] + (4q + 8) + 3 = 0 Remove brackets around [2 + -2q] 2 + -2q + (4q + 8) + 3 = 0 Reorder the terms: 2 + -2q + (8 + 4q) + 3 = 0 Remove parenthesis around (8 + 4q) 2 + -2q + 8 + 4q + 3 = 0 Reorder the terms: 2 + 8 + 3 + -2q + 4q = 0 Combine like terms: 2 + 8 = 10 10 + 3 + -2q + 4q = 0 Combine like terms: 10 + 3 = 13 13 + -2q + 4q = 0 Combine like terms: -2q + 4q = 2q 13 + 2q = 0 Solving 13 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2q = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2q = 0 + -13 2q = 0 + -13 Combine like terms: 0 + -13 = -13 2q = -13 Divide each side by '2'. q = -6.5 Simplifying q = -6.5
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