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Simplifying 8(2w + -2) = 7(w + 2) Reorder the terms: 8(-2 + 2w) = 7(w + 2) (-2 * 8 + 2w * 8) = 7(w + 2) (-16 + 16w) = 7(w + 2) Reorder the terms: -16 + 16w = 7(2 + w) -16 + 16w = (2 * 7 + w * 7) -16 + 16w = (14 + 7w) Solving -16 + 16w = 14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -16 + 16w + -7w = 14 + 7w + -7w Combine like terms: 16w + -7w = 9w -16 + 9w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 -16 + 9w = 14 + 0 -16 + 9w = 14 Add '16' to each side of the equation. -16 + 16 + 9w = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 9w = 14 + 16 9w = 14 + 16 Combine like terms: 14 + 16 = 30 9w = 30 Divide each side by '9'. w = 3.333333333 Simplifying w = 3.333333333
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