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Simplifying -13 + 4w = 6w + 19 Reorder the terms: -13 + 4w = 19 + 6w Solving -13 + 4w = 19 + 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 = 19 + 6w + -6w Combine like terms: 4w + -6w = -2w -13 + -2w = 19 + 6w + -6w Combine like terms: 6w + -6w = 0 -13 + -2w = 19 + 0 -13 + -2w = 19 Add '13' to each side of the equation. -13 + 13 + -2w = 19 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = 19 + 13 -2w = 19 + 13 Combine like terms: 19 + 13 = 32 -2w = 32 Divide each side by '-2'. w = -16 Simplifying w = -16
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