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Simplifying 2(8.4) + 2w = 5w Multiply 2 * 8.4 16.8 + 2w = 5w Solving 16.8 + 2w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 16.8 + 2w + -5w = 5w + -5w Combine like terms: 2w + -5w = -3w 16.8 + -3w = 5w + -5w Combine like terms: 5w + -5w = 0 16.8 + -3w = 0 Add '-16.8' to each side of the equation. 16.8 + -16.8 + -3w = 0 + -16.8 Combine like terms: 16.8 + -16.8 = 0.0 0.0 + -3w = 0 + -16.8 -3w = 0 + -16.8 Combine like terms: 0 + -16.8 = -16.8 -3w = -16.8 Divide each side by '-3'. w = 5.6 Simplifying w = 5.6
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