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Simplifying 7(w + -1) = 9w + 7 + -2(-8w + -1) Reorder the terms: 7(-1 + w) = 9w + 7 + -2(-8w + -1) (-1 * 7 + w * 7) = 9w + 7 + -2(-8w + -1) (-7 + 7w) = 9w + 7 + -2(-8w + -1) Reorder the terms: -7 + 7w = 9w + 7 + -2(-1 + -8w) -7 + 7w = 9w + 7 + (-1 * -2 + -8w * -2) -7 + 7w = 9w + 7 + (2 + 16w) Reorder the terms: -7 + 7w = 7 + 2 + 9w + 16w Combine like terms: 7 + 2 = 9 -7 + 7w = 9 + 9w + 16w Combine like terms: 9w + 16w = 25w -7 + 7w = 9 + 25w Solving -7 + 7w = 9 + 25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25w' to each side of the equation. -7 + 7w + -25w = 9 + 25w + -25w Combine like terms: 7w + -25w = -18w -7 + -18w = 9 + 25w + -25w Combine like terms: 25w + -25w = 0 -7 + -18w = 9 + 0 -7 + -18w = 9 Add '7' to each side of the equation. -7 + 7 + -18w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -18w = 9 + 7 -18w = 9 + 7 Combine like terms: 9 + 7 = 16 -18w = 16 Divide each side by '-18'. w = -0.8888888889 Simplifying w = -0.8888888889
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