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Simplifying 18.72 + -19.2w = 8(-4.1w + -19.25) Reorder the terms: 18.72 + -19.2w = 8(-19.25 + -4.1w) 18.72 + -19.2w = (-19.25 * 8 + -4.1w * 8) 18.72 + -19.2w = (-154 + -32.8w) Solving 18.72 + -19.2w = -154 + -32.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32.8w' to each side of the equation. 18.72 + -19.2w + 32.8w = -154 + -32.8w + 32.8w Combine like terms: -19.2w + 32.8w = 13.6w 18.72 + 13.6w = -154 + -32.8w + 32.8w Combine like terms: -32.8w + 32.8w = 0.0 18.72 + 13.6w = -154 + 0.0 18.72 + 13.6w = -154 Add '-18.72' to each side of the equation. 18.72 + -18.72 + 13.6w = -154 + -18.72 Combine like terms: 18.72 + -18.72 = 0.00 0.00 + 13.6w = -154 + -18.72 13.6w = -154 + -18.72 Combine like terms: -154 + -18.72 = -172.72 13.6w = -172.72 Divide each side by '13.6'. w = -12.7 Simplifying w = -12.7
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