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Simplifying 6(w + 3) + 5 = -7(w + 6) Reorder the terms: 6(3 + w) + 5 = -7(w + 6) (3 * 6 + w * 6) + 5 = -7(w + 6) (18 + 6w) + 5 = -7(w + 6) Reorder the terms: 18 + 5 + 6w = -7(w + 6) Combine like terms: 18 + 5 = 23 23 + 6w = -7(w + 6) Reorder the terms: 23 + 6w = -7(6 + w) 23 + 6w = (6 * -7 + w * -7) 23 + 6w = (-42 + -7w) Solving 23 + 6w = -42 + -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. 23 + 6w + 7w = -42 + -7w + 7w Combine like terms: 6w + 7w = 13w 23 + 13w = -42 + -7w + 7w Combine like terms: -7w + 7w = 0 23 + 13w = -42 + 0 23 + 13w = -42 Add '-23' to each side of the equation. 23 + -23 + 13w = -42 + -23 Combine like terms: 23 + -23 = 0 0 + 13w = -42 + -23 13w = -42 + -23 Combine like terms: -42 + -23 = -65 13w = -65 Divide each side by '13'. w = -5 Simplifying w = -5
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