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Simplifying 0.5w + -3 = 0.3(2w + -3) Reorder the terms: -3 + 0.5w = 0.3(2w + -3) Reorder the terms: -3 + 0.5w = 0.3(-3 + 2w) -3 + 0.5w = (-3 * 0.3 + 2w * 0.3) -3 + 0.5w = (-0.9 + 0.6w) Solving -3 + 0.5w = -0.9 + 0.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.6w' to each side of the equation. -3 + 0.5w + -0.6w = -0.9 + 0.6w + -0.6w Combine like terms: 0.5w + -0.6w = -0.1w -3 + -0.1w = -0.9 + 0.6w + -0.6w Combine like terms: 0.6w + -0.6w = 0.0 -3 + -0.1w = -0.9 + 0.0 -3 + -0.1w = -0.9 Add '3' to each side of the equation. -3 + 3 + -0.1w = -0.9 + 3 Combine like terms: -3 + 3 = 0 0 + -0.1w = -0.9 + 3 -0.1w = -0.9 + 3 Combine like terms: -0.9 + 3 = 2.1 -0.1w = 2.1 Divide each side by '-0.1'. w = -21 Simplifying w = -21
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