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Simplifying 4w + 6 = 6w + (-4) Reorder the terms: 6 + 4w = 6w + (-4) 6 + 4w = 6w + -4 Reorder the terms: 6 + 4w = -4 + 6w Solving 6 + 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. 6 + 4w + -6w = -4 + 6w + -6w Combine like terms: 4w + -6w = -2w 6 + -2w = -4 + 6w + -6w Combine like terms: 6w + -6w = 0 6 + -2w = -4 + 0 6 + -2w = -4 Add '-6' to each side of the equation. 6 + -6 + -2w = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2w = -4 + -6 -2w = -4 + -6 Combine like terms: -4 + -6 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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