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Simplifying 2(w + -7) = -4w + 40 Reorder the terms: 2(-7 + w) = -4w + 40 (-7 * 2 + w * 2) = -4w + 40 (-14 + 2w) = -4w + 40 Reorder the terms: -14 + 2w = 40 + -4w Solving -14 + 2w = 40 + -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 = 40 + -4w + 4w Combine like terms: 2w + 4w = 6w -14 + 6w = 40 + -4w + 4w Combine like terms: -4w + 4w = 0 -14 + 6w = 40 + 0 -14 + 6w = 40 Add '14' to each side of the equation. -14 + 14 + 6w = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 6w = 40 + 14 6w = 40 + 14 Combine like terms: 40 + 14 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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