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Simplifying 4w + 10 = 6w + 14 Reorder the terms: 10 + 4w = 6w + 14 Reorder the terms: 10 + 4w = 14 + 6w Solving 10 + 4w = 14 + 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. 10 + 4w + -6w = 14 + 6w + -6w Combine like terms: 4w + -6w = -2w 10 + -2w = 14 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -2w = 14 + 0 10 + -2w = 14 Add '-10' to each side of the equation. 10 + -10 + -2w = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 14 + -10 -2w = 14 + -10 Combine like terms: 14 + -10 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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