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Simplifying -1(w + 15) + 2w + -13 = -19 Reorder the terms: -1(15 + w) + 2w + -13 = -19 (15 * -1 + w * -1) + 2w + -13 = -19 (-15 + -1w) + 2w + -13 = -19 Reorder the terms: -15 + -13 + -1w + 2w = -19 Combine like terms: -15 + -13 = -28 -28 + -1w + 2w = -19 Combine like terms: -1w + 2w = 1w -28 + 1w = -19 Solving -28 + 1w = -19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1w = -19 + 28 Combine like terms: -28 + 28 = 0 0 + 1w = -19 + 28 1w = -19 + 28 Combine like terms: -19 + 28 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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