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Simplifying 0.3(3w + -6) = -0.5(2w + -4) Reorder the terms: 0.3(-6 + 3w) = -0.5(2w + -4) (-6 * 0.3 + 3w * 0.3) = -0.5(2w + -4) (-1.8 + 0.9w) = -0.5(2w + -4) Reorder the terms: -1.8 + 0.9w = -0.5(-4 + 2w) -1.8 + 0.9w = (-4 * -0.5 + 2w * -0.5) -1.8 + 0.9w = (2 + -1w) Solving -1.8 + 0.9w = 2 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -1.8 + 0.9w + w = 2 + -1w + w Combine like terms: 0.9w + w = 1.9w -1.8 + 1.9w = 2 + -1w + w Combine like terms: -1w + w = 0 -1.8 + 1.9w = 2 + 0 -1.8 + 1.9w = 2 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1.9w = 2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1.9w = 2 + 1.8 1.9w = 2 + 1.8 Combine like terms: 2 + 1.8 = 3.8 1.9w = 3.8 Divide each side by '1.9'. w = 2 Simplifying w = 2
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