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Simplifying [4w + -5] = -6w + -9 Reorder the terms: [-5 + 4w] = -6w + -9 Remove brackets around [-5 + 4w] -5 + 4w = -6w + -9 Reorder the terms: -5 + 4w = -9 + -6w Solving -5 + 4w = -9 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -5 + 4w + 6w = -9 + -6w + 6w Combine like terms: 4w + 6w = 10w -5 + 10w = -9 + -6w + 6w Combine like terms: -6w + 6w = 0 -5 + 10w = -9 + 0 -5 + 10w = -9 Add '5' to each side of the equation. -5 + 5 + 10w = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 10w = -9 + 5 10w = -9 + 5 Combine like terms: -9 + 5 = -4 10w = -4 Divide each side by '10'. w = -0.4 Simplifying w = -0.4
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