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Simplifying 7(w + -1) + -9 = -5(-6 + 2) + -9w Reorder the terms: 7(-1 + w) + -9 = -5(-6 + 2) + -9w (-1 * 7 + w * 7) + -9 = -5(-6 + 2) + -9w (-7 + 7w) + -9 = -5(-6 + 2) + -9w Reorder the terms: -7 + -9 + 7w = -5(-6 + 2) + -9w Combine like terms: -7 + -9 = -16 -16 + 7w = -5(-6 + 2) + -9w Combine like terms: -6 + 2 = -4 -16 + 7w = -5(-4) + -9w Multiply -5 * -4 -16 + 7w = 20 + -9w Solving -16 + 7w = 20 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -16 + 7w + 9w = 20 + -9w + 9w Combine like terms: 7w + 9w = 16w -16 + 16w = 20 + -9w + 9w Combine like terms: -9w + 9w = 0 -16 + 16w = 20 + 0 -16 + 16w = 20 Add '16' to each side of the equation. -16 + 16 + 16w = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 16w = 20 + 16 16w = 20 + 16 Combine like terms: 20 + 16 = 36 16w = 36 Divide each side by '16'. w = 2.25 Simplifying w = 2.25
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