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Simplifying 4(w + -4) + 8 = 2w + -14 Reorder the terms: 4(-4 + w) + 8 = 2w + -14 (-4 * 4 + w * 4) + 8 = 2w + -14 (-16 + 4w) + 8 = 2w + -14 Reorder the terms: -16 + 8 + 4w = 2w + -14 Combine like terms: -16 + 8 = -8 -8 + 4w = 2w + -14 Reorder the terms: -8 + 4w = -14 + 2w Solving -8 + 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. -8 + 4w + -2w = -14 + 2w + -2w Combine like terms: 4w + -2w = 2w -8 + 2w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 2w = -14 + 0 -8 + 2w = -14 Add '8' to each side of the equation. -8 + 8 + 2w = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = -14 + 8 2w = -14 + 8 Combine like terms: -14 + 8 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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