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Simplifying 4w + -25 = 6w + 51 Reorder the terms: -25 + 4w = 6w + 51 Reorder the terms: -25 + 4w = 51 + 6w Solving -25 + 4w = 51 + 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. -25 + 4w + -6w = 51 + 6w + -6w Combine like terms: 4w + -6w = -2w -25 + -2w = 51 + 6w + -6w Combine like terms: 6w + -6w = 0 -25 + -2w = 51 + 0 -25 + -2w = 51 Add '25' to each side of the equation. -25 + 25 + -2w = 51 + 25 Combine like terms: -25 + 25 = 0 0 + -2w = 51 + 25 -2w = 51 + 25 Combine like terms: 51 + 25 = 76 -2w = 76 Divide each side by '-2'. w = -38 Simplifying w = -38
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