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Simplifying 0.33(3w + -15) = -0.2(25 + -5w) Reorder the terms: 0.33(-15 + 3w) = -0.2(25 + -5w) (-15 * 0.33 + 3w * 0.33) = -0.2(25 + -5w) (-4.95 + 0.99w) = -0.2(25 + -5w) -4.95 + 0.99w = (25 * -0.2 + -5w * -0.2) -4.95 + 0.99w = (-5 + 1w) Solving -4.95 + 0.99w = -5 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -4.95 + 0.99w + -1w = -5 + 1w + -1w Combine like terms: 0.99w + -1w = -0.01w -4.95 + -0.01w = -5 + 1w + -1w Combine like terms: 1w + -1w = 0 -4.95 + -0.01w = -5 + 0 -4.95 + -0.01w = -5 Add '4.95' to each side of the equation. -4.95 + 4.95 + -0.01w = -5 + 4.95 Combine like terms: -4.95 + 4.95 = 0.00 0.00 + -0.01w = -5 + 4.95 -0.01w = -5 + 4.95 Combine like terms: -5 + 4.95 = -0.05 -0.01w = -0.05 Divide each side by '-0.01'. w = 5 Simplifying w = 5
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