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Simplifying 1.6(6w + -12) = 6 + -2(w + -2) Reorder the terms: 1.6(-12 + 6w) = 6 + -2(w + -2) (-12 * 1.6 + 6w * 1.6) = 6 + -2(w + -2) (-19.2 + 9.6w) = 6 + -2(w + -2) Reorder the terms: -19.2 + 9.6w = 6 + -2(-2 + w) -19.2 + 9.6w = 6 + (-2 * -2 + w * -2) -19.2 + 9.6w = 6 + (4 + -2w) Combine like terms: 6 + 4 = 10 -19.2 + 9.6w = 10 + -2w Solving -19.2 + 9.6w = 10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -19.2 + 9.6w + 2w = 10 + -2w + 2w Combine like terms: 9.6w + 2w = 11.6w -19.2 + 11.6w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 -19.2 + 11.6w = 10 + 0 -19.2 + 11.6w = 10 Add '19.2' to each side of the equation. -19.2 + 19.2 + 11.6w = 10 + 19.2 Combine like terms: -19.2 + 19.2 = 0.0 0.0 + 11.6w = 10 + 19.2 11.6w = 10 + 19.2 Combine like terms: 10 + 19.2 = 29.2 11.6w = 29.2 Divide each side by '11.6'. w = 2.517241379 Simplifying w = 2.517241379
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