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Simplifying 4(w + -2.1) = w + 0.06 Reorder the terms: 4(-2.1 + w) = w + 0.06 (-2.1 * 4 + w * 4) = w + 0.06 (-8.4 + 4w) = w + 0.06 Reorder the terms: -8.4 + 4w = 0.06 + w Solving -8.4 + 4w = 0.06 + w 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. -8.4 + 4w + -1w = 0.06 + w + -1w Combine like terms: 4w + -1w = 3w -8.4 + 3w = 0.06 + w + -1w Combine like terms: w + -1w = 0 -8.4 + 3w = 0.06 + 0 -8.4 + 3w = 0.06 Add '8.4' to each side of the equation. -8.4 + 8.4 + 3w = 0.06 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + 3w = 0.06 + 8.4 3w = 0.06 + 8.4 Combine like terms: 0.06 + 8.4 = 8.46 3w = 8.46 Divide each side by '3'. w = 2.82 Simplifying w = 2.82
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