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Simplifying 5(w + -1) + -1 = -3(-8w + 8) + -3w Reorder the terms: 5(-1 + w) + -1 = -3(-8w + 8) + -3w (-1 * 5 + w * 5) + -1 = -3(-8w + 8) + -3w (-5 + 5w) + -1 = -3(-8w + 8) + -3w Reorder the terms: -5 + -1 + 5w = -3(-8w + 8) + -3w Combine like terms: -5 + -1 = -6 -6 + 5w = -3(-8w + 8) + -3w Reorder the terms: -6 + 5w = -3(8 + -8w) + -3w -6 + 5w = (8 * -3 + -8w * -3) + -3w -6 + 5w = (-24 + 24w) + -3w Combine like terms: 24w + -3w = 21w -6 + 5w = -24 + 21w Solving -6 + 5w = -24 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -6 + 5w + -21w = -24 + 21w + -21w Combine like terms: 5w + -21w = -16w -6 + -16w = -24 + 21w + -21w Combine like terms: 21w + -21w = 0 -6 + -16w = -24 + 0 -6 + -16w = -24 Add '6' to each side of the equation. -6 + 6 + -16w = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -16w = -24 + 6 -16w = -24 + 6 Combine like terms: -24 + 6 = -18 -16w = -18 Divide each side by '-16'. w = 1.125 Simplifying w = 1.125
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