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Simplifying 7(q + 4) + -3(1 + q) = -19 Reorder the terms: 7(4 + q) + -3(1 + q) = -19 (4 * 7 + q * 7) + -3(1 + q) = -19 (28 + 7q) + -3(1 + q) = -19 28 + 7q + (1 * -3 + q * -3) = -19 28 + 7q + (-3 + -3q) = -19 Reorder the terms: 28 + -3 + 7q + -3q = -19 Combine like terms: 28 + -3 = 25 25 + 7q + -3q = -19 Combine like terms: 7q + -3q = 4q 25 + 4q = -19 Solving 25 + 4q = -19 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4q = -19 + -25 Combine like terms: 25 + -25 = 0 0 + 4q = -19 + -25 4q = -19 + -25 Combine like terms: -19 + -25 = -44 4q = -44 Divide each side by '4'. q = -11 Simplifying q = -11
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