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Simplifying 5w + 8 + -1w = 6w + -2(-4) Reorder the terms: 8 + 5w + -1w = 6w + -2(-4) Combine like terms: 5w + -1w = 4w 8 + 4w = 6w + -2(-4) Multiply -2 * -4 8 + 4w = 6w + 8 Reorder the terms: 8 + 4w = 8 + 6w Add '-8' to each side of the equation. 8 + -8 + 4w = 8 + -8 + 6w Combine like terms: 8 + -8 = 0 0 + 4w = 8 + -8 + 6w 4w = 8 + -8 + 6w Combine like terms: 8 + -8 = 0 4w = 0 + 6w 4w = 6w Solving 4w = 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. 4w + -6w = 6w + -6w Combine like terms: 4w + -6w = -2w -2w = 6w + -6w Combine like terms: 6w + -6w = 0 -2w = 0 Divide each side by '-2'. w = 0 Simplifying w = 0
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