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Simplifying 4(8 + -2w) + -7w = 2 (8 * 4 + -2w * 4) + -7w = 2 (32 + -8w) + -7w = 2 Combine like terms: -8w + -7w = -15w 32 + -15w = 2 Solving 32 + -15w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -15w = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -15w = 2 + -32 -15w = 2 + -32 Combine like terms: 2 + -32 = -30 -15w = -30 Divide each side by '-15'. w = 2 Simplifying w = 2
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