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Simplifying (4w + -5) = (6w + 4) Reorder the terms: (-5 + 4w) = (6w + 4) Remove parenthesis around (-5 + 4w) -5 + 4w = (6w + 4) Reorder the terms: -5 + 4w = (4 + 6w) Remove parenthesis around (4 + 6w) -5 + 4w = 4 + 6w Solving -5 + 4w = 4 + 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. -5 + 4w + -6w = 4 + 6w + -6w Combine like terms: 4w + -6w = -2w -5 + -2w = 4 + 6w + -6w Combine like terms: 6w + -6w = 0 -5 + -2w = 4 + 0 -5 + -2w = 4 Add '5' to each side of the equation. -5 + 5 + -2w = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = 4 + 5 -2w = 4 + 5 Combine like terms: 4 + 5 = 9 -2w = 9 Divide each side by '-2'. w = -4.5 Simplifying w = -4.5
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