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Simplifying 15.93 + 3.2w = 15.6w + -14.6 + -17.51 Reorder the terms: 15.93 + 3.2w = -14.6 + -17.51 + 15.6w Combine like terms: -14.6 + -17.51 = -32.11 15.93 + 3.2w = -32.11 + 15.6w Solving 15.93 + 3.2w = -32.11 + 15.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15.6w' to each side of the equation. 15.93 + 3.2w + -15.6w = -32.11 + 15.6w + -15.6w Combine like terms: 3.2w + -15.6w = -12.4w 15.93 + -12.4w = -32.11 + 15.6w + -15.6w Combine like terms: 15.6w + -15.6w = 0.0 15.93 + -12.4w = -32.11 + 0.0 15.93 + -12.4w = -32.11 Add '-15.93' to each side of the equation. 15.93 + -15.93 + -12.4w = -32.11 + -15.93 Combine like terms: 15.93 + -15.93 = 0.00 0.00 + -12.4w = -32.11 + -15.93 -12.4w = -32.11 + -15.93 Combine like terms: -32.11 + -15.93 = -48.04 -12.4w = -48.04 Divide each side by '-12.4'. w = 3.874193548 Simplifying w = 3.874193548
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