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Simplifying -6(w + 3) + -1(-8w + -4) = w Reorder the terms: -6(3 + w) + -1(-8w + -4) = w (3 * -6 + w * -6) + -1(-8w + -4) = w (-18 + -6w) + -1(-8w + -4) = w Reorder the terms: -18 + -6w + -1(-4 + -8w) = w -18 + -6w + (-4 * -1 + -8w * -1) = w -18 + -6w + (4 + 8w) = w Reorder the terms: -18 + 4 + -6w + 8w = w Combine like terms: -18 + 4 = -14 -14 + -6w + 8w = w Combine like terms: -6w + 8w = 2w -14 + 2w = w Solving -14 + 2w = 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. -14 + 2w + -1w = w + -1w Combine like terms: 2w + -1w = 1w -14 + 1w = w + -1w Combine like terms: w + -1w = 0 -14 + 1w = 0 Add '14' to each side of the equation. -14 + 14 + 1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1w = 0 + 14 1w = 0 + 14 Combine like terms: 0 + 14 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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