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Simplifying 12 + -10w + 65 = 6w + -5 Reorder the terms: 12 + 65 + -10w = 6w + -5 Combine like terms: 12 + 65 = 77 77 + -10w = 6w + -5 Reorder the terms: 77 + -10w = -5 + 6w Solving 77 + -10w = -5 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 77 + -10w + -6w = -5 + 6w + -6w Combine like terms: -10w + -6w = -16w 77 + -16w = -5 + 6w + -6w Combine like terms: 6w + -6w = 0 77 + -16w = -5 + 0 77 + -16w = -5 Add '-77' to each side of the equation. 77 + -77 + -16w = -5 + -77 Combine like terms: 77 + -77 = 0 0 + -16w = -5 + -77 -16w = -5 + -77 Combine like terms: -5 + -77 = -82 -16w = -82 Divide each side by '-16'. w = 5.125 Simplifying w = 5.125
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