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Simplifying 4w + 45 = 6w + -5 Reorder the terms: 45 + 4w = 6w + -5 Reorder the terms: 45 + 4w = -5 + 6w Solving 45 + 4w = -5 + 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. 45 + 4w + -6w = -5 + 6w + -6w Combine like terms: 4w + -6w = -2w 45 + -2w = -5 + 6w + -6w Combine like terms: 6w + -6w = 0 45 + -2w = -5 + 0 45 + -2w = -5 Add '-45' to each side of the equation. 45 + -45 + -2w = -5 + -45 Combine like terms: 45 + -45 = 0 0 + -2w = -5 + -45 -2w = -5 + -45 Combine like terms: -5 + -45 = -50 -2w = -50 Divide each side by '-2'. w = 25 Simplifying w = 25
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