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Simplifying 4(2 + -1q) = 4(q + 7) (2 * 4 + -1q * 4) = 4(q + 7) (8 + -4q) = 4(q + 7) Reorder the terms: 8 + -4q = 4(7 + q) 8 + -4q = (7 * 4 + q * 4) 8 + -4q = (28 + 4q) Solving 8 + -4q = 28 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 8 + -4q + -4q = 28 + 4q + -4q Combine like terms: -4q + -4q = -8q 8 + -8q = 28 + 4q + -4q Combine like terms: 4q + -4q = 0 8 + -8q = 28 + 0 8 + -8q = 28 Add '-8' to each side of the equation. 8 + -8 + -8q = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -8q = 28 + -8 -8q = 28 + -8 Combine like terms: 28 + -8 = 20 -8q = 20 Divide each side by '-8'. q = -2.5 Simplifying q = -2.5
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