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Simplifying 33 = 20 + -8(-4 + -2w) 33 = 20 + (-4 * -8 + -2w * -8) 33 = 20 + (32 + 16w) Combine like terms: 20 + 32 = 52 33 = 52 + 16w Solving 33 = 52 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 33 + -16w = 52 + 16w + -16w Combine like terms: 16w + -16w = 0 33 + -16w = 52 + 0 33 + -16w = 52 Add '-33' to each side of the equation. 33 + -33 + -16w = 52 + -33 Combine like terms: 33 + -33 = 0 0 + -16w = 52 + -33 -16w = 52 + -33 Combine like terms: 52 + -33 = 19 -16w = 19 Divide each side by '-16'. w = -1.1875 Simplifying w = -1.1875
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