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Simplifying 7(2q + 1) + -3(2 + -1q) + 5(q + 4) = 7 Reorder the terms: 7(1 + 2q) + -3(2 + -1q) + 5(q + 4) = 7 (1 * 7 + 2q * 7) + -3(2 + -1q) + 5(q + 4) = 7 (7 + 14q) + -3(2 + -1q) + 5(q + 4) = 7 7 + 14q + (2 * -3 + -1q * -3) + 5(q + 4) = 7 7 + 14q + (-6 + 3q) + 5(q + 4) = 7 Reorder the terms: 7 + 14q + -6 + 3q + 5(4 + q) = 7 7 + 14q + -6 + 3q + (4 * 5 + q * 5) = 7 7 + 14q + -6 + 3q + (20 + 5q) = 7 Reorder the terms: 7 + -6 + 20 + 14q + 3q + 5q = 7 Combine like terms: 7 + -6 = 1 1 + 20 + 14q + 3q + 5q = 7 Combine like terms: 1 + 20 = 21 21 + 14q + 3q + 5q = 7 Combine like terms: 14q + 3q = 17q 21 + 17q + 5q = 7 Combine like terms: 17q + 5q = 22q 21 + 22q = 7 Solving 21 + 22q = 7 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 22q = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 22q = 7 + -21 22q = 7 + -21 Combine like terms: 7 + -21 = -14 22q = -14 Divide each side by '22'. q = -0.6363636364 Simplifying q = -0.6363636364
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