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Simplifying 0.3(24w + -18) = 8w + -6 Reorder the terms: 0.3(-18 + 24w) = 8w + -6 (-18 * 0.3 + 24w * 0.3) = 8w + -6 (-5.4 + 7.2w) = 8w + -6 Reorder the terms: -5.4 + 7.2w = -6 + 8w Solving -5.4 + 7.2w = -6 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -5.4 + 7.2w + -8w = -6 + 8w + -8w Combine like terms: 7.2w + -8w = -0.8w -5.4 + -0.8w = -6 + 8w + -8w Combine like terms: 8w + -8w = 0 -5.4 + -0.8w = -6 + 0 -5.4 + -0.8w = -6 Add '5.4' to each side of the equation. -5.4 + 5.4 + -0.8w = -6 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -0.8w = -6 + 5.4 -0.8w = -6 + 5.4 Combine like terms: -6 + 5.4 = -0.6 -0.8w = -0.6 Divide each side by '-0.8'. w = 0.75 Simplifying w = 0.75
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