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Simplifying 4 + -6w = 19 + -3w Solving 4 + -6w = 19 + -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. 4 + -6w + 3w = 19 + -3w + 3w Combine like terms: -6w + 3w = -3w 4 + -3w = 19 + -3w + 3w Combine like terms: -3w + 3w = 0 4 + -3w = 19 + 0 4 + -3w = 19 Add '-4' to each side of the equation. 4 + -4 + -3w = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 19 + -4 -3w = 19 + -4 Combine like terms: 19 + -4 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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