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Simplifying 4w + -7 = 6w + 9 Reorder the terms: -7 + 4w = 6w + 9 Reorder the terms: -7 + 4w = 9 + 6w Solving -7 + 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. -7 + 4w + -6w = 9 + 6w + -6w Combine like terms: 4w + -6w = -2w -7 + -2w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 -7 + -2w = 9 + 0 -7 + -2w = 9 Add '7' to each side of the equation. -7 + 7 + -2w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 9 + 7 -2w = 9 + 7 Combine like terms: 9 + 7 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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