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Simplifying 2[2q + 1] = 3[q + -2] Reorder the terms: 2[1 + 2q] = 3[q + -2] [1 * 2 + 2q * 2] = 3[q + -2] [2 + 4q] = 3[q + -2] Reorder the terms: 2 + 4q = 3[-2 + q] 2 + 4q = [-2 * 3 + q * 3] 2 + 4q = [-6 + 3q] Solving 2 + 4q = -6 + 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 + 4q + -3q = -6 + 3q + -3q Combine like terms: 4q + -3q = 1q 2 + 1q = -6 + 3q + -3q Combine like terms: 3q + -3q = 0 2 + 1q = -6 + 0 2 + 1q = -6 Add '-2' to each side of the equation. 2 + -2 + 1q = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 1q = -6 + -2 1q = -6 + -2 Combine like terms: -6 + -2 = -8 1q = -8 Divide each side by '1'. q = -8 Simplifying q = -8
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