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Simplifying -1 + -8(2w + 8) = -20 + -19w Reorder the terms: -1 + -8(8 + 2w) = -20 + -19w -1 + (8 * -8 + 2w * -8) = -20 + -19w -1 + (-64 + -16w) = -20 + -19w Combine like terms: -1 + -64 = -65 -65 + -16w = -20 + -19w Solving -65 + -16w = -20 + -19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '19w' to each side of the equation. -65 + -16w + 19w = -20 + -19w + 19w Combine like terms: -16w + 19w = 3w -65 + 3w = -20 + -19w + 19w Combine like terms: -19w + 19w = 0 -65 + 3w = -20 + 0 -65 + 3w = -20 Add '65' to each side of the equation. -65 + 65 + 3w = -20 + 65 Combine like terms: -65 + 65 = 0 0 + 3w = -20 + 65 3w = -20 + 65 Combine like terms: -20 + 65 = 45 3w = 45 Divide each side by '3'. w = 15 Simplifying w = 15
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