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Simplifying 4w + 2 = 6(w + -1) Reorder the terms: 2 + 4w = 6(w + -1) Reorder the terms: 2 + 4w = 6(-1 + w) 2 + 4w = (-1 * 6 + w * 6) 2 + 4w = (-6 + 6w) Solving 2 + 4w = -6 + 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. 2 + 4w + -6w = -6 + 6w + -6w Combine like terms: 4w + -6w = -2w 2 + -2w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + -2w = -6 + 0 2 + -2w = -6 Add '-2' to each side of the equation. 2 + -2 + -2w = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = -6 + -2 -2w = -6 + -2 Combine like terms: -6 + -2 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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