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Simplifying -19 + -1w + 2w = 18w + 6(-3w + -1) Combine like terms: -1w + 2w = 1w -19 + 1w = 18w + 6(-3w + -1) Reorder the terms: -19 + 1w = 18w + 6(-1 + -3w) -19 + 1w = 18w + (-1 * 6 + -3w * 6) -19 + 1w = 18w + (-6 + -18w) Reorder the terms: -19 + 1w = -6 + 18w + -18w Combine like terms: 18w + -18w = 0 -19 + 1w = -6 + 0 -19 + 1w = -6 Solving -19 + 1w = -6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1w = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 1w = -6 + 19 1w = -6 + 19 Combine like terms: -6 + 19 = 13 1w = 13 Divide each side by '1'. w = 13 Simplifying w = 13
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