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Simplifying w + -4 = -6w + 40 Reorder the terms: -4 + w = -6w + 40 Reorder the terms: -4 + w = 40 + -6w Solving -4 + w = 40 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -4 + w + 6w = 40 + -6w + 6w Combine like terms: w + 6w = 7w -4 + 7w = 40 + -6w + 6w Combine like terms: -6w + 6w = 0 -4 + 7w = 40 + 0 -4 + 7w = 40 Add '4' to each side of the equation. -4 + 4 + 7w = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 7w = 40 + 4 7w = 40 + 4 Combine like terms: 40 + 4 = 44 7w = 44 Divide each side by '7'. w = 6.285714286 Simplifying w = 6.285714286
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