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Simplifying -17.6w + 0.87 = -16.2 + -18.3w + 6.78 Reorder the terms: 0.87 + -17.6w = -16.2 + -18.3w + 6.78 Reorder the terms: 0.87 + -17.6w = -16.2 + 6.78 + -18.3w Combine like terms: -16.2 + 6.78 = -9.42 0.87 + -17.6w = -9.42 + -18.3w Solving 0.87 + -17.6w = -9.42 + -18.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18.3w' to each side of the equation. 0.87 + -17.6w + 18.3w = -9.42 + -18.3w + 18.3w Combine like terms: -17.6w + 18.3w = 0.7w 0.87 + 0.7w = -9.42 + -18.3w + 18.3w Combine like terms: -18.3w + 18.3w = 0.0 0.87 + 0.7w = -9.42 + 0.0 0.87 + 0.7w = -9.42 Add '-0.87' to each side of the equation. 0.87 + -0.87 + 0.7w = -9.42 + -0.87 Combine like terms: 0.87 + -0.87 = 0.00 0.00 + 0.7w = -9.42 + -0.87 0.7w = -9.42 + -0.87 Combine like terms: -9.42 + -0.87 = -10.29 0.7w = -10.29 Divide each side by '0.7'. w = -14.7 Simplifying w = -14.7
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