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Simplifying 8w + -9 + -6w = 4w + -7 Reorder the terms: -9 + 8w + -6w = 4w + -7 Combine like terms: 8w + -6w = 2w -9 + 2w = 4w + -7 Reorder the terms: -9 + 2w = -7 + 4w Solving -9 + 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. -9 + 2w + -4w = -7 + 4w + -4w Combine like terms: 2w + -4w = -2w -9 + -2w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 -9 + -2w = -7 + 0 -9 + -2w = -7 Add '9' to each side of the equation. -9 + 9 + -2w = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -2w = -7 + 9 -2w = -7 + 9 Combine like terms: -7 + 9 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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