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Simplifying 0.03w + -0.8(w + -0.62) = 40 Reorder the terms: 0.03w + -0.8(-0.62 + w) = 40 0.03w + (-0.62 * -0.8 + w * -0.8) = 40 0.03w + (0.496 + -0.8w) = 40 Reorder the terms: 0.496 + 0.03w + -0.8w = 40 Combine like terms: 0.03w + -0.8w = -0.77w 0.496 + -0.77w = 40 Solving 0.496 + -0.77w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.496' to each side of the equation. 0.496 + -0.496 + -0.77w = 40 + -0.496 Combine like terms: 0.496 + -0.496 = 0.000 0.000 + -0.77w = 40 + -0.496 -0.77w = 40 + -0.496 Combine like terms: 40 + -0.496 = 39.504 -0.77w = 39.504 Divide each side by '-0.77'. w = -51.3038961 Simplifying w = -51.3038961
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