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Simplifying 7q + -1(3w + 24) = 18 Reorder the terms: 7q + -1(24 + 3w) = 18 7q + (24 * -1 + 3w * -1) = 18 7q + (-24 + -3w) = 18 Reorder the terms: -24 + 7q + -3w = 18 Solving -24 + 7q + -3w = 18 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 7q + 24 + -3w = 18 + 24 Reorder the terms: -24 + 24 + 7q + -3w = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 7q + -3w = 18 + 24 7q + -3w = 18 + 24 Combine like terms: 18 + 24 = 42 7q + -3w = 42 Add '3w' to each side of the equation. 7q + -3w + 3w = 42 + 3w Combine like terms: -3w + 3w = 0 7q + 0 = 42 + 3w 7q = 42 + 3w Divide each side by '7'. q = 6 + 0.4285714286w Simplifying q = 6 + 0.4285714286w
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