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Simplifying 8w + -8 + -6w = 4w + -7 Reorder the terms: -8 + 8w + -6w = 4w + -7 Combine like terms: 8w + -6w = 2w -8 + 2w = 4w + -7 Reorder the terms: -8 + 2w = -7 + 4w Solving -8 + 2w = -7 + 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. -8 + 2w + -4w = -7 + 4w + -4w Combine like terms: 2w + -4w = -2w -8 + -2w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + -2w = -7 + 0 -8 + -2w = -7 Add '8' to each side of the equation. -8 + 8 + -2w = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -2w = -7 + 8 -2w = -7 + 8 Combine like terms: -7 + 8 = 1 -2w = 1 Divide each side by '-2'. w = -0.5 Simplifying w = -0.5
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