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Simplifying 0.33(3w + -6) = -0.5(2w + -4) Reorder the terms: 0.33(-6 + 3w) = -0.5(2w + -4) (-6 * 0.33 + 3w * 0.33) = -0.5(2w + -4) (-1.98 + 0.99w) = -0.5(2w + -4) Reorder the terms: -1.98 + 0.99w = -0.5(-4 + 2w) -1.98 + 0.99w = (-4 * -0.5 + 2w * -0.5) -1.98 + 0.99w = (2 + -1w) Solving -1.98 + 0.99w = 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. -1.98 + 0.99w + w = 2 + -1w + w Combine like terms: 0.99w + w = 1.99w -1.98 + 1.99w = 2 + -1w + w Combine like terms: -1w + w = 0 -1.98 + 1.99w = 2 + 0 -1.98 + 1.99w = 2 Add '1.98' to each side of the equation. -1.98 + 1.98 + 1.99w = 2 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + 1.99w = 2 + 1.98 1.99w = 2 + 1.98 Combine like terms: 2 + 1.98 = 3.98 1.99w = 3.98 Divide each side by '1.99'. w = 2 Simplifying w = 2
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