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Simplifying 4w + -40 = 7(-2w + 2) Reorder the terms: -40 + 4w = 7(-2w + 2) Reorder the terms: -40 + 4w = 7(2 + -2w) -40 + 4w = (2 * 7 + -2w * 7) -40 + 4w = (14 + -14w) Solving -40 + 4w = 14 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. -40 + 4w + 14w = 14 + -14w + 14w Combine like terms: 4w + 14w = 18w -40 + 18w = 14 + -14w + 14w Combine like terms: -14w + 14w = 0 -40 + 18w = 14 + 0 -40 + 18w = 14 Add '40' to each side of the equation. -40 + 40 + 18w = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18w = 14 + 40 18w = 14 + 40 Combine like terms: 14 + 40 = 54 18w = 54 Divide each side by '18'. w = 3 Simplifying w = 3
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