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Simplifying 4w + -10 = 6(2 + w) + -2 Reorder the terms: -10 + 4w = 6(2 + w) + -2 -10 + 4w = (2 * 6 + w * 6) + -2 -10 + 4w = (12 + 6w) + -2 Reorder the terms: -10 + 4w = 12 + -2 + 6w Combine like terms: 12 + -2 = 10 -10 + 4w = 10 + 6w Solving -10 + 4w = 10 + 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 = 10 + 6w + -6w Combine like terms: 4w + -6w = -2w -10 + -2w = 10 + 6w + -6w Combine like terms: 6w + -6w = 0 -10 + -2w = 10 + 0 -10 + -2w = 10 Add '10' to each side of the equation. -10 + 10 + -2w = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = 10 + 10 -2w = 10 + 10 Combine like terms: 10 + 10 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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