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Simplifying 7w + -28 = 17 + 16w Reorder the terms: -28 + 7w = 17 + 16w Solving -28 + 7w = 17 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -28 + 7w + -16w = 17 + 16w + -16w Combine like terms: 7w + -16w = -9w -28 + -9w = 17 + 16w + -16w Combine like terms: 16w + -16w = 0 -28 + -9w = 17 + 0 -28 + -9w = 17 Add '28' to each side of the equation. -28 + 28 + -9w = 17 + 28 Combine like terms: -28 + 28 = 0 0 + -9w = 17 + 28 -9w = 17 + 28 Combine like terms: 17 + 28 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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