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Simplifying 5(w + -1) = 3w + 9 + -2(-9w + -2) Reorder the terms: 5(-1 + w) = 3w + 9 + -2(-9w + -2) (-1 * 5 + w * 5) = 3w + 9 + -2(-9w + -2) (-5 + 5w) = 3w + 9 + -2(-9w + -2) Reorder the terms: -5 + 5w = 3w + 9 + -2(-2 + -9w) -5 + 5w = 3w + 9 + (-2 * -2 + -9w * -2) -5 + 5w = 3w + 9 + (4 + 18w) Reorder the terms: -5 + 5w = 9 + 4 + 3w + 18w Combine like terms: 9 + 4 = 13 -5 + 5w = 13 + 3w + 18w Combine like terms: 3w + 18w = 21w -5 + 5w = 13 + 21w Solving -5 + 5w = 13 + 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. -5 + 5w + -21w = 13 + 21w + -21w Combine like terms: 5w + -21w = -16w -5 + -16w = 13 + 21w + -21w Combine like terms: 21w + -21w = 0 -5 + -16w = 13 + 0 -5 + -16w = 13 Add '5' to each side of the equation. -5 + 5 + -16w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -16w = 13 + 5 -16w = 13 + 5 Combine like terms: 13 + 5 = 18 -16w = 18 Divide each side by '-16'. w = -1.125 Simplifying w = -1.125
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