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Simplifying 6w + -4 + -8w = -14 + 46 Reorder the terms: -4 + 6w + -8w = -14 + 46 Combine like terms: 6w + -8w = -2w -4 + -2w = -14 + 46 Combine like terms: -14 + 46 = 32 -4 + -2w = 32 Solving -4 + -2w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2w = 32 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = 32 + 4 -2w = 32 + 4 Combine like terms: 32 + 4 = 36 -2w = 36 Divide each side by '-2'. w = -18 Simplifying w = -18
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