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Simplifying 5w + 8 + -12w = 16w + -15w Reorder the terms: 8 + 5w + -12w = 16w + -15w Combine like terms: 5w + -12w = -7w 8 + -7w = 16w + -15w Combine like terms: 16w + -15w = 1w 8 + -7w = 1w Solving 8 + -7w = 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 8 + -7w + -1w = 1w + -1w Combine like terms: -7w + -1w = -8w 8 + -8w = 1w + -1w Combine like terms: 1w + -1w = 0 8 + -8w = 0 Add '-8' to each side of the equation. 8 + -8 + -8w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8w = 0 + -8 -8w = 0 + -8 Combine like terms: 0 + -8 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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