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Simplifying 3 + -0.5(w + -3) = 0.3(5w + -8) Reorder the terms: 3 + -0.5(-3 + w) = 0.3(5w + -8) 3 + (-3 * -0.5 + w * -0.5) = 0.3(5w + -8) 3 + (1.5 + -0.5w) = 0.3(5w + -8) Combine like terms: 3 + 1.5 = 4.5 4.5 + -0.5w = 0.3(5w + -8) Reorder the terms: 4.5 + -0.5w = 0.3(-8 + 5w) 4.5 + -0.5w = (-8 * 0.3 + 5w * 0.3) 4.5 + -0.5w = (-2.4 + 1.5w) Solving 4.5 + -0.5w = -2.4 + 1.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5w' to each side of the equation. 4.5 + -0.5w + -1.5w = -2.4 + 1.5w + -1.5w Combine like terms: -0.5w + -1.5w = -2w 4.5 + -2w = -2.4 + 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 4.5 + -2w = -2.4 + 0.0 4.5 + -2w = -2.4 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -2w = -2.4 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2w = -2.4 + -4.5 -2w = -2.4 + -4.5 Combine like terms: -2.4 + -4.5 = -6.9 -2w = -6.9 Divide each side by '-2'. w = 3.45 Simplifying w = 3.45
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