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Simplifying 5[2q + 3] = 2[4 + -3q] Reorder the terms: 5[3 + 2q] = 2[4 + -3q] [3 * 5 + 2q * 5] = 2[4 + -3q] [15 + 10q] = 2[4 + -3q] 15 + 10q = [4 * 2 + -3q * 2] 15 + 10q = [8 + -6q] Solving 15 + 10q = 8 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 15 + 10q + 6q = 8 + -6q + 6q Combine like terms: 10q + 6q = 16q 15 + 16q = 8 + -6q + 6q Combine like terms: -6q + 6q = 0 15 + 16q = 8 + 0 15 + 16q = 8 Add '-15' to each side of the equation. 15 + -15 + 16q = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 16q = 8 + -15 16q = 8 + -15 Combine like terms: 8 + -15 = -7 16q = -7 Divide each side by '16'. q = -0.4375 Simplifying q = -0.4375
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