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Simplifying -3(6.4w + 10.95) + 6.79 = 2(1.4w + -15.23) Reorder the terms: -3(10.95 + 6.4w) + 6.79 = 2(1.4w + -15.23) (10.95 * -3 + 6.4w * -3) + 6.79 = 2(1.4w + -15.23) (-32.85 + -19.2w) + 6.79 = 2(1.4w + -15.23) Reorder the terms: -32.85 + 6.79 + -19.2w = 2(1.4w + -15.23) Combine like terms: -32.85 + 6.79 = -26.06 -26.06 + -19.2w = 2(1.4w + -15.23) Reorder the terms: -26.06 + -19.2w = 2(-15.23 + 1.4w) -26.06 + -19.2w = (-15.23 * 2 + 1.4w * 2) -26.06 + -19.2w = (-30.46 + 2.8w) Solving -26.06 + -19.2w = -30.46 + 2.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.8w' to each side of the equation. -26.06 + -19.2w + -2.8w = -30.46 + 2.8w + -2.8w Combine like terms: -19.2w + -2.8w = -22w -26.06 + -22w = -30.46 + 2.8w + -2.8w Combine like terms: 2.8w + -2.8w = 0.0 -26.06 + -22w = -30.46 + 0.0 -26.06 + -22w = -30.46 Add '26.06' to each side of the equation. -26.06 + 26.06 + -22w = -30.46 + 26.06 Combine like terms: -26.06 + 26.06 = 0.00 0.00 + -22w = -30.46 + 26.06 -22w = -30.46 + 26.06 Combine like terms: -30.46 + 26.06 = -4.4 -22w = -4.4 Divide each side by '-22'. w = 0.2 Simplifying w = 0.2
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