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Simplifying 4(3.14) = w + 6(3.14) Multiply 4 * 3.14 12.56 = w + 6(3.14) Multiply 6 * 3.14 12.56 = w + 18.84 Reorder the terms: 12.56 = 18.84 + w Solving 12.56 = 18.84 + 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. 12.56 + -1w = 18.84 + w + -1w Combine like terms: w + -1w = 0 12.56 + -1w = 18.84 + 0 12.56 + -1w = 18.84 Add '-12.56' to each side of the equation. 12.56 + -12.56 + -1w = 18.84 + -12.56 Combine like terms: 12.56 + -12.56 = 0.00 0.00 + -1w = 18.84 + -12.56 -1w = 18.84 + -12.56 Combine like terms: 18.84 + -12.56 = 6.28 -1w = 6.28 Divide each side by '-1'. w = -6.28 Simplifying w = -6.28
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