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Simplifying 6(q + -7) + -1(4 + -1q) = 0 Reorder the terms: 6(-7 + q) + -1(4 + -1q) = 0 (-7 * 6 + q * 6) + -1(4 + -1q) = 0 (-42 + 6q) + -1(4 + -1q) = 0 -42 + 6q + (4 * -1 + -1q * -1) = 0 -42 + 6q + (-4 + 1q) = 0 Reorder the terms: -42 + -4 + 6q + 1q = 0 Combine like terms: -42 + -4 = -46 -46 + 6q + 1q = 0 Combine like terms: 6q + 1q = 7q -46 + 7q = 0 Solving -46 + 7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 7q = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 7q = 0 + 46 7q = 0 + 46 Combine like terms: 0 + 46 = 46 7q = 46 Divide each side by '7'. q = 6.571428571 Simplifying q = 6.571428571
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