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Simplifying -2.9w + -4.5 = 1.4w + 4.1 Reorder the terms: -4.5 + -2.9w = 1.4w + 4.1 Reorder the terms: -4.5 + -2.9w = 4.1 + 1.4w Solving -4.5 + -2.9w = 4.1 + 1.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.4w' to each side of the equation. -4.5 + -2.9w + -1.4w = 4.1 + 1.4w + -1.4w Combine like terms: -2.9w + -1.4w = -4.3w -4.5 + -4.3w = 4.1 + 1.4w + -1.4w Combine like terms: 1.4w + -1.4w = 0.0 -4.5 + -4.3w = 4.1 + 0.0 -4.5 + -4.3w = 4.1 Add '4.5' to each side of the equation. -4.5 + 4.5 + -4.3w = 4.1 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -4.3w = 4.1 + 4.5 -4.3w = 4.1 + 4.5 Combine like terms: 4.1 + 4.5 = 8.6 -4.3w = 8.6 Divide each side by '-4.3'. w = -2 Simplifying w = -2
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