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Simplifying 0.4w + -5 + -2.1w + 8 = -10.6 Reorder the terms: -5 + 8 + 0.4w + -2.1w = -10.6 Combine like terms: -5 + 8 = 3 3 + 0.4w + -2.1w = -10.6 Combine like terms: 0.4w + -2.1w = -1.7w 3 + -1.7w = -10.6 Solving 3 + -1.7w = -10.6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1.7w = -10.6 + -3 Combine like terms: 3 + -3 = 0 0 + -1.7w = -10.6 + -3 -1.7w = -10.6 + -3 Combine like terms: -10.6 + -3 = -13.6 -1.7w = -13.6 Divide each side by '-1.7'. w = 8 Simplifying w = 8
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