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Simplifying -16 + -8w = 7(w + 2) Reorder the terms: -16 + -8w = 7(2 + w) -16 + -8w = (2 * 7 + w * 7) -16 + -8w = (14 + 7w) Solving -16 + -8w = 14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -16 + -8w + -7w = 14 + 7w + -7w Combine like terms: -8w + -7w = -15w -16 + -15w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 -16 + -15w = 14 + 0 -16 + -15w = 14 Add '16' to each side of the equation. -16 + 16 + -15w = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -15w = 14 + 16 -15w = 14 + 16 Combine like terms: 14 + 16 = 30 -15w = 30 Divide each side by '-15'. w = -2 Simplifying w = -2
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