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Simplifying 6w + 3 + -1(w + 8) = 19 + -1w Reorder the terms: 6w + 3 + -1(8 + w) = 19 + -1w 6w + 3 + (8 * -1 + w * -1) = 19 + -1w 6w + 3 + (-8 + -1w) = 19 + -1w Reorder the terms: 3 + -8 + 6w + -1w = 19 + -1w Combine like terms: 3 + -8 = -5 -5 + 6w + -1w = 19 + -1w Combine like terms: 6w + -1w = 5w -5 + 5w = 19 + -1w Solving -5 + 5w = 19 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -5 + 5w + w = 19 + -1w + w Combine like terms: 5w + w = 6w -5 + 6w = 19 + -1w + w Combine like terms: -1w + w = 0 -5 + 6w = 19 + 0 -5 + 6w = 19 Add '5' to each side of the equation. -5 + 5 + 6w = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 6w = 19 + 5 6w = 19 + 5 Combine like terms: 19 + 5 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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