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Simplifying -1.7w + -3.4 = -4.6w + 5.3 Reorder the terms: -3.4 + -1.7w = -4.6w + 5.3 Reorder the terms: -3.4 + -1.7w = 5.3 + -4.6w Solving -3.4 + -1.7w = 5.3 + -4.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4.6w' to each side of the equation. -3.4 + -1.7w + 4.6w = 5.3 + -4.6w + 4.6w Combine like terms: -1.7w + 4.6w = 2.9w -3.4 + 2.9w = 5.3 + -4.6w + 4.6w Combine like terms: -4.6w + 4.6w = 0.0 -3.4 + 2.9w = 5.3 + 0.0 -3.4 + 2.9w = 5.3 Add '3.4' to each side of the equation. -3.4 + 3.4 + 2.9w = 5.3 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 2.9w = 5.3 + 3.4 2.9w = 5.3 + 3.4 Combine like terms: 5.3 + 3.4 = 8.7 2.9w = 8.7 Divide each side by '2.9'. w = 3 Simplifying w = 3
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