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Simplifying 3(w + 7) + 11 = 5(w + -4) + 2 Reorder the terms: 3(7 + w) + 11 = 5(w + -4) + 2 (7 * 3 + w * 3) + 11 = 5(w + -4) + 2 (21 + 3w) + 11 = 5(w + -4) + 2 Reorder the terms: 21 + 11 + 3w = 5(w + -4) + 2 Combine like terms: 21 + 11 = 32 32 + 3w = 5(w + -4) + 2 Reorder the terms: 32 + 3w = 5(-4 + w) + 2 32 + 3w = (-4 * 5 + w * 5) + 2 32 + 3w = (-20 + 5w) + 2 Reorder the terms: 32 + 3w = -20 + 2 + 5w Combine like terms: -20 + 2 = -18 32 + 3w = -18 + 5w Solving 32 + 3w = -18 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 32 + 3w + -5w = -18 + 5w + -5w Combine like terms: 3w + -5w = -2w 32 + -2w = -18 + 5w + -5w Combine like terms: 5w + -5w = 0 32 + -2w = -18 + 0 32 + -2w = -18 Add '-32' to each side of the equation. 32 + -32 + -2w = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -2w = -18 + -32 -2w = -18 + -32 Combine like terms: -18 + -32 = -50 -2w = -50 Divide each side by '-2'. w = 25 Simplifying w = 25
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