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Simplifying 4(w + -2) + 2 = 2w + -14 Reorder the terms: 4(-2 + w) + 2 = 2w + -14 (-2 * 4 + w * 4) + 2 = 2w + -14 (-8 + 4w) + 2 = 2w + -14 Reorder the terms: -8 + 2 + 4w = 2w + -14 Combine like terms: -8 + 2 = -6 -6 + 4w = 2w + -14 Reorder the terms: -6 + 4w = -14 + 2w Solving -6 + 4w = -14 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -6 + 4w + -2w = -14 + 2w + -2w Combine like terms: 4w + -2w = 2w -6 + 2w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 2w = -14 + 0 -6 + 2w = -14 Add '6' to each side of the equation. -6 + 6 + 2w = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 2w = -14 + 6 2w = -14 + 6 Combine like terms: -14 + 6 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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