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Simplifying 5(w + -1.1) = -1(w + -8.3) Reorder the terms: 5(-1.1 + w) = -1(w + -8.3) (-1.1 * 5 + w * 5) = -1(w + -8.3) (-5.5 + 5w) = -1(w + -8.3) Reorder the terms: -5.5 + 5w = -1(-8.3 + w) -5.5 + 5w = (-8.3 * -1 + w * -1) -5.5 + 5w = (8.3 + -1w) Solving -5.5 + 5w = 8.3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -5.5 + 5w + w = 8.3 + -1w + w Combine like terms: 5w + w = 6w -5.5 + 6w = 8.3 + -1w + w Combine like terms: -1w + w = 0 -5.5 + 6w = 8.3 + 0 -5.5 + 6w = 8.3 Add '5.5' to each side of the equation. -5.5 + 5.5 + 6w = 8.3 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 6w = 8.3 + 5.5 6w = 8.3 + 5.5 Combine like terms: 8.3 + 5.5 = 13.8 6w = 13.8 Divide each side by '6'. w = 2.3 Simplifying w = 2.3
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