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Simplifying 5y + 1.8(1 + -1w) = -38 5y + (1 * 1.8 + -1w * 1.8) = -38 5y + (1.8 + -1.8w) = -38 Reorder the terms: 1.8 + -1.8w + 5y = -38 Solving 1.8 + -1.8w + 5y = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8w + -1.8 + 5y = -38 + -1.8 Reorder the terms: 1.8 + -1.8 + -1.8w + 5y = -38 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1.8w + 5y = -38 + -1.8 -1.8w + 5y = -38 + -1.8 Combine like terms: -38 + -1.8 = -39.8 -1.8w + 5y = -39.8 Add '-5y' to each side of the equation. -1.8w + 5y + -5y = -39.8 + -5y Combine like terms: 5y + -5y = 0 -1.8w + 0 = -39.8 + -5y -1.8w = -39.8 + -5y Divide each side by '-1.8'. w = 22.11111111 + 2.777777778y Simplifying w = 22.11111111 + 2.777777778y
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