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Simplifying 5.3w + 16.2 = 12.3w + 11.3 Reorder the terms: 16.2 + 5.3w = 12.3w + 11.3 Reorder the terms: 16.2 + 5.3w = 11.3 + 12.3w Solving 16.2 + 5.3w = 11.3 + 12.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12.3w' to each side of the equation. 16.2 + 5.3w + -12.3w = 11.3 + 12.3w + -12.3w Combine like terms: 5.3w + -12.3w = -7w 16.2 + -7w = 11.3 + 12.3w + -12.3w Combine like terms: 12.3w + -12.3w = 0.0 16.2 + -7w = 11.3 + 0.0 16.2 + -7w = 11.3 Add '-16.2' to each side of the equation. 16.2 + -16.2 + -7w = 11.3 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + -7w = 11.3 + -16.2 -7w = 11.3 + -16.2 Combine like terms: 11.3 + -16.2 = -4.9 -7w = -4.9 Divide each side by '-7'. w = 0.7 Simplifying w = 0.7
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