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Simplifying 0.5(6w + -4) = 4x + -9 Reorder the terms: 0.5(-4 + 6w) = 4x + -9 (-4 * 0.5 + 6w * 0.5) = 4x + -9 (-2 + 3w) = 4x + -9 Reorder the terms: -2 + 3w = -9 + 4x Solving -2 + 3w = -9 + 4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3w = -9 + 2 + 4x Combine like terms: -2 + 2 = 0 0 + 3w = -9 + 2 + 4x 3w = -9 + 2 + 4x Combine like terms: -9 + 2 = -7 3w = -7 + 4x Divide each side by '3'. w = -2.333333333 + 1.333333333x Simplifying w = -2.333333333 + 1.333333333x
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