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Simplifying -15w + -9.65 = -8.6w + 3.4w + 9.95 Reorder the terms: -9.65 + -15w = -8.6w + 3.4w + 9.95 Reorder the terms: -9.65 + -15w = 9.95 + -8.6w + 3.4w Combine like terms: -8.6w + 3.4w = -5.2w -9.65 + -15w = 9.95 + -5.2w Solving -9.65 + -15w = 9.95 + -5.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5.2w' to each side of the equation. -9.65 + -15w + 5.2w = 9.95 + -5.2w + 5.2w Combine like terms: -15w + 5.2w = -9.8w -9.65 + -9.8w = 9.95 + -5.2w + 5.2w Combine like terms: -5.2w + 5.2w = 0.0 -9.65 + -9.8w = 9.95 + 0.0 -9.65 + -9.8w = 9.95 Add '9.65' to each side of the equation. -9.65 + 9.65 + -9.8w = 9.95 + 9.65 Combine like terms: -9.65 + 9.65 = 0.00 0.00 + -9.8w = 9.95 + 9.65 -9.8w = 9.95 + 9.65 Combine like terms: 9.95 + 9.65 = 19.6 -9.8w = 19.6 Divide each side by '-9.8'. w = -2 Simplifying w = -2
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