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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 = -2w -5 + -2w = -9 + 6w + -6w Combine like terms: 6w + -6w = 0 -5 + -2w = -9 + 0 -5 + -2w = -9 Add '5' to each side of the equation. -5 + 5 + -2w = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = -9 + 5 -2w = -9 + 5 Combine like terms: -9 + 5 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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