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Simplifying 4w + 7 + -5(-2 + -1) = 2(w + -1) Combine like terms: -2 + -1 = -3 4w + 7 + -5(-3) = 2(w + -1) Multiply -5 * -3 4w + 7 + 15 = 2(w + -1) Reorder the terms: 7 + 15 + 4w = 2(w + -1) Combine like terms: 7 + 15 = 22 22 + 4w = 2(w + -1) Reorder the terms: 22 + 4w = 2(-1 + w) 22 + 4w = (-1 * 2 + w * 2) 22 + 4w = (-2 + 2w) Solving 22 + 4w = -2 + 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. 22 + 4w + -2w = -2 + 2w + -2w Combine like terms: 4w + -2w = 2w 22 + 2w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + 2w = -2 + 0 22 + 2w = -2 Add '-22' to each side of the equation. 22 + -22 + 2w = -2 + -22 Combine like terms: 22 + -22 = 0 0 + 2w = -2 + -22 2w = -2 + -22 Combine like terms: -2 + -22 = -24 2w = -24 Divide each side by '2'. w = -12 Simplifying w = -12
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