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Simplifying 8(q + 5) + -7(6q + 3) = 0 Reorder the terms: 8(5 + q) + -7(6q + 3) = 0 (5 * 8 + q * 8) + -7(6q + 3) = 0 (40 + 8q) + -7(6q + 3) = 0 Reorder the terms: 40 + 8q + -7(3 + 6q) = 0 40 + 8q + (3 * -7 + 6q * -7) = 0 40 + 8q + (-21 + -42q) = 0 Reorder the terms: 40 + -21 + 8q + -42q = 0 Combine like terms: 40 + -21 = 19 19 + 8q + -42q = 0 Combine like terms: 8q + -42q = -34q 19 + -34q = 0 Solving 19 + -34q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -34q = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -34q = 0 + -19 -34q = 0 + -19 Combine like terms: 0 + -19 = -19 -34q = -19 Divide each side by '-34'. q = 0.5588235294 Simplifying q = 0.5588235294
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