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Simplifying -1.6 + -0.9w = 11.6 + 2.4w Solving -1.6 + -0.9w = 11.6 + 2.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.4w' to each side of the equation. -1.6 + -0.9w + -2.4w = 11.6 + 2.4w + -2.4w Combine like terms: -0.9w + -2.4w = -3.3w -1.6 + -3.3w = 11.6 + 2.4w + -2.4w Combine like terms: 2.4w + -2.4w = 0.0 -1.6 + -3.3w = 11.6 + 0.0 -1.6 + -3.3w = 11.6 Add '1.6' to each side of the equation. -1.6 + 1.6 + -3.3w = 11.6 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -3.3w = 11.6 + 1.6 -3.3w = 11.6 + 1.6 Combine like terms: 11.6 + 1.6 = 13.2 -3.3w = 13.2 Divide each side by '-3.3'. w = -4 Simplifying w = -4
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