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Simplifying 6w + -19 = 3w + -4 Reorder the terms: -19 + 6w = 3w + -4 Reorder the terms: -19 + 6w = -4 + 3w Solving -19 + 6w = -4 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -19 + 6w + -3w = -4 + 3w + -3w Combine like terms: 6w + -3w = 3w -19 + 3w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 -19 + 3w = -4 + 0 -19 + 3w = -4 Add '19' to each side of the equation. -19 + 19 + 3w = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 3w = -4 + 19 3w = -4 + 19 Combine like terms: -4 + 19 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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