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Simplifying 3(w + 7) + -8 = -47 Reorder the terms: 3(7 + w) + -8 = -47 (7 * 3 + w * 3) + -8 = -47 (21 + 3w) + -8 = -47 Reorder the terms: 21 + -8 + 3w = -47 Combine like terms: 21 + -8 = 13 13 + 3w = -47 Solving 13 + 3w = -47 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3w = -47 + -13 Combine like terms: 13 + -13 = 0 0 + 3w = -47 + -13 3w = -47 + -13 Combine like terms: -47 + -13 = -60 3w = -60 Divide each side by '3'. w = -20 Simplifying w = -20
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