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Simplifying 12 + -5(2w + -13) = 3(2w + 5) Reorder the terms: 12 + -5(-13 + 2w) = 3(2w + 5) 12 + (-13 * -5 + 2w * -5) = 3(2w + 5) 12 + (65 + -10w) = 3(2w + 5) Combine like terms: 12 + 65 = 77 77 + -10w = 3(2w + 5) Reorder the terms: 77 + -10w = 3(5 + 2w) 77 + -10w = (5 * 3 + 2w * 3) 77 + -10w = (15 + 6w) Solving 77 + -10w = 15 + 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 = 15 + 6w + -6w Combine like terms: -10w + -6w = -16w 77 + -16w = 15 + 6w + -6w Combine like terms: 6w + -6w = 0 77 + -16w = 15 + 0 77 + -16w = 15 Add '-77' to each side of the equation. 77 + -77 + -16w = 15 + -77 Combine like terms: 77 + -77 = 0 0 + -16w = 15 + -77 -16w = 15 + -77 Combine like terms: 15 + -77 = -62 -16w = -62 Divide each side by '-16'. w = 3.875 Simplifying w = 3.875
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