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Simplifying 0.333333333(3w + -6) = -0.5(2w + -4) Reorder the terms: 0.333333333(-6 + 3w) = -0.5(2w + -4) (-6 * 0.333333333 + 3w * 0.333333333) = -0.5(2w + -4) (-1.999999998 + 0.999999999w) = -0.5(2w + -4) Reorder the terms: -1.999999998 + 0.999999999w = -0.5(-4 + 2w) -1.999999998 + 0.999999999w = (-4 * -0.5 + 2w * -0.5) -1.999999998 + 0.999999999w = (2 + -1w) Solving -1.999999998 + 0.999999999w = 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. -1.999999998 + 0.999999999w + w = 2 + -1w + w Combine like terms: 0.999999999w + w = 1.999999999w -1.999999998 + 1.999999999w = 2 + -1w + w Combine like terms: -1w + w = 0 -1.999999998 + 1.999999999w = 2 + 0 -1.999999998 + 1.999999999w = 2 Add '1.999999998' to each side of the equation. -1.999999998 + 1.999999998 + 1.999999999w = 2 + 1.999999998 Combine like terms: -1.999999998 + 1.999999998 = 0.000000000 0.000000000 + 1.999999999w = 2 + 1.999999998 1.999999999w = 2 + 1.999999998 Combine like terms: 2 + 1.999999998 = 3.999999998 1.999999999w = 3.999999998 Divide each side by '1.999999999'. w = 2 Simplifying w = 2
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