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Simplifying 2(w + -7) = 4w + -16 Reorder the terms: 2(-7 + w) = 4w + -16 (-7 * 2 + w * 2) = 4w + -16 (-14 + 2w) = 4w + -16 Reorder the terms: -14 + 2w = -16 + 4w Solving -14 + 2w = -16 + 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. -14 + 2w + -4w = -16 + 4w + -4w Combine like terms: 2w + -4w = -2w -14 + -2w = -16 + 4w + -4w Combine like terms: 4w + -4w = 0 -14 + -2w = -16 + 0 -14 + -2w = -16 Add '14' to each side of the equation. -14 + 14 + -2w = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = -16 + 14 -2w = -16 + 14 Combine like terms: -16 + 14 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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