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Simplifying 4w + 13 = 6w + -9 Reorder the terms: 13 + 4w = 6w + -9 Reorder the terms: 13 + 4w = -9 + 6w Solving 13 + 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. 13 + 4w + -6w = -9 + 6w + -6w Combine like terms: 4w + -6w = -2w 13 + -2w = -9 + 6w + -6w Combine like terms: 6w + -6w = 0 13 + -2w = -9 + 0 13 + -2w = -9 Add '-13' to each side of the equation. 13 + -13 + -2w = -9 + -13 Combine like terms: 13 + -13 = 0 0 + -2w = -9 + -13 -2w = -9 + -13 Combine like terms: -9 + -13 = -22 -2w = -22 Divide each side by '-2'. w = 11 Simplifying w = 11
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