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Simplifying -19 = -5w + 7(w + -5) Reorder the terms: -19 = -5w + 7(-5 + w) -19 = -5w + (-5 * 7 + w * 7) -19 = -5w + (-35 + 7w) Reorder the terms: -19 = -35 + -5w + 7w Combine like terms: -5w + 7w = 2w -19 = -35 + 2w Solving -19 = -35 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -19 + -2w = -35 + 2w + -2w Combine like terms: 2w + -2w = 0 -19 + -2w = -35 + 0 -19 + -2w = -35 Add '19' to each side of the equation. -19 + 19 + -2w = -35 + 19 Combine like terms: -19 + 19 = 0 0 + -2w = -35 + 19 -2w = -35 + 19 Combine like terms: -35 + 19 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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