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Simplifying 28 = 4q + (2q + 6)(-3) Reorder the terms: 28 = 4q + (6 + 2q)(-3) Reorder the terms for easier multiplication: 28 = 4q + -3(6 + 2q) 28 = 4q + (6 * -3 + 2q * -3) 28 = 4q + (-18 + -6q) Reorder the terms: 28 = -18 + 4q + -6q Combine like terms: 4q + -6q = -2q 28 = -18 + -2q Solving 28 = -18 + -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. 28 + 2q = -18 + -2q + 2q Combine like terms: -2q + 2q = 0 28 + 2q = -18 + 0 28 + 2q = -18 Add '-28' to each side of the equation. 28 + -28 + 2q = -18 + -28 Combine like terms: 28 + -28 = 0 0 + 2q = -18 + -28 2q = -18 + -28 Combine like terms: -18 + -28 = -46 2q = -46 Divide each side by '2'. q = -23 Simplifying q = -23
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