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Simplifying -6w + 2 = -4(w + 2) Reorder the terms: 2 + -6w = -4(w + 2) Reorder the terms: 2 + -6w = -4(2 + w) 2 + -6w = (2 * -4 + w * -4) 2 + -6w = (-8 + -4w) Solving 2 + -6w = -8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 2 + -6w + 4w = -8 + -4w + 4w Combine like terms: -6w + 4w = -2w 2 + -2w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 2 + -2w = -8 + 0 2 + -2w = -8 Add '-2' to each side of the equation. 2 + -2 + -2w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = -8 + -2 -2w = -8 + -2 Combine like terms: -8 + -2 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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