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Simplifying 7W + -3(6 + 2w) + -3w = -24 7W + (6 * -3 + 2w * -3) + -3w = -24 7W + (-18 + -6w) + -3w = -24 Reorder the terms: -18 + 7W + -6w + -3w = -24 Combine like terms: -6w + -3w = -9w -18 + 7W + -9w = -24 Solving -18 + 7W + -9w = -24 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 7W + 18 + -9w = -24 + 18 Reorder the terms: -18 + 18 + 7W + -9w = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 7W + -9w = -24 + 18 7W + -9w = -24 + 18 Combine like terms: -24 + 18 = -6 7W + -9w = -6 Add '9w' to each side of the equation. 7W + -9w + 9w = -6 + 9w Combine like terms: -9w + 9w = 0 7W + 0 = -6 + 9w 7W = -6 + 9w Divide each side by '7'. W = -0.8571428571 + 1.285714286w Simplifying W = -0.8571428571 + 1.285714286w
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