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Simplifying 47 = 2(w + -1) + 5w Reorder the terms: 47 = 2(-1 + w) + 5w 47 = (-1 * 2 + w * 2) + 5w 47 = (-2 + 2w) + 5w Combine like terms: 2w + 5w = 7w 47 = -2 + 7w Solving 47 = -2 + 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. 47 + -7w = -2 + 7w + -7w Combine like terms: 7w + -7w = 0 47 + -7w = -2 + 0 47 + -7w = -2 Add '-47' to each side of the equation. 47 + -47 + -7w = -2 + -47 Combine like terms: 47 + -47 = 0 0 + -7w = -2 + -47 -7w = -2 + -47 Combine like terms: -2 + -47 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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