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Simplifying 17 + -3w + 15 = 6w + 35 + -2w Reorder the terms: 17 + 15 + -3w = 6w + 35 + -2w Combine like terms: 17 + 15 = 32 32 + -3w = 6w + 35 + -2w Reorder the terms: 32 + -3w = 35 + 6w + -2w Combine like terms: 6w + -2w = 4w 32 + -3w = 35 + 4w Solving 32 + -3w = 35 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 32 + -3w + -4w = 35 + 4w + -4w Combine like terms: -3w + -4w = -7w 32 + -7w = 35 + 4w + -4w Combine like terms: 4w + -4w = 0 32 + -7w = 35 + 0 32 + -7w = 35 Add '-32' to each side of the equation. 32 + -32 + -7w = 35 + -32 Combine like terms: 32 + -32 = 0 0 + -7w = 35 + -32 -7w = 35 + -32 Combine like terms: 35 + -32 = 3 -7w = 3 Divide each side by '-7'. w = -0.4285714286 Simplifying w = -0.4285714286
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