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Simplifying 7w + 22 = -8(w + 1) Reorder the terms: 22 + 7w = -8(w + 1) Reorder the terms: 22 + 7w = -8(1 + w) 22 + 7w = (1 * -8 + w * -8) 22 + 7w = (-8 + -8w) Solving 22 + 7w = -8 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 22 + 7w + 8w = -8 + -8w + 8w Combine like terms: 7w + 8w = 15w 22 + 15w = -8 + -8w + 8w Combine like terms: -8w + 8w = 0 22 + 15w = -8 + 0 22 + 15w = -8 Add '-22' to each side of the equation. 22 + -22 + 15w = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 15w = -8 + -22 15w = -8 + -22 Combine like terms: -8 + -22 = -30 15w = -30 Divide each side by '15'. w = -2 Simplifying w = -2
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