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Simplifying 3 + -1(w + -1) + -5w + 5 = w + -19 Reorder the terms: 3 + -1(-1 + w) + -5w + 5 = w + -19 3 + (-1 * -1 + w * -1) + -5w + 5 = w + -19 3 + (1 + -1w) + -5w + 5 = w + -19 Reorder the terms: 3 + 1 + 5 + -1w + -5w = w + -19 Combine like terms: 3 + 1 = 4 4 + 5 + -1w + -5w = w + -19 Combine like terms: 4 + 5 = 9 9 + -1w + -5w = w + -19 Combine like terms: -1w + -5w = -6w 9 + -6w = w + -19 Reorder the terms: 9 + -6w = -19 + w Solving 9 + -6w = -19 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 9 + -6w + -1w = -19 + w + -1w Combine like terms: -6w + -1w = -7w 9 + -7w = -19 + w + -1w Combine like terms: w + -1w = 0 9 + -7w = -19 + 0 9 + -7w = -19 Add '-9' to each side of the equation. 9 + -9 + -7w = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = -19 + -9 -7w = -19 + -9 Combine like terms: -19 + -9 = -28 -7w = -28 Divide each side by '-7'. w = 4 Simplifying w = 4
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