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Simplifying -3.2 + 0.4w = 0.8(w + 5) Reorder the terms: -3.2 + 0.4w = 0.8(5 + w) -3.2 + 0.4w = (5 * 0.8 + w * 0.8) -3.2 + 0.4w = (4 + 0.8w) Solving -3.2 + 0.4w = 4 + 0.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.8w' to each side of the equation. -3.2 + 0.4w + -0.8w = 4 + 0.8w + -0.8w Combine like terms: 0.4w + -0.8w = -0.4w -3.2 + -0.4w = 4 + 0.8w + -0.8w Combine like terms: 0.8w + -0.8w = 0.0 -3.2 + -0.4w = 4 + 0.0 -3.2 + -0.4w = 4 Add '3.2' to each side of the equation. -3.2 + 3.2 + -0.4w = 4 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -0.4w = 4 + 3.2 -0.4w = 4 + 3.2 Combine like terms: 4 + 3.2 = 7.2 -0.4w = 7.2 Divide each side by '-0.4'. w = -18 Simplifying w = -18
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