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Simplifying 3(11q + 18) + 16 = -2q Reorder the terms: 3(18 + 11q) + 16 = -2q (18 * 3 + 11q * 3) + 16 = -2q (54 + 33q) + 16 = -2q Reorder the terms: 54 + 16 + 33q = -2q Combine like terms: 54 + 16 = 70 70 + 33q = -2q Solving 70 + 33q = -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 70 + 33q + 2q = -2q + 2q Combine like terms: 33q + 2q = 35q 70 + 35q = -2q + 2q Combine like terms: -2q + 2q = 0 70 + 35q = 0 Add '-70' to each side of the equation. 70 + -70 + 35q = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 35q = 0 + -70 35q = 0 + -70 Combine like terms: 0 + -70 = -70 35q = -70 Divide each side by '35'. q = -2 Simplifying q = -2
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