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Simplifying 7w + 1 = 4(w + -5) Reorder the terms: 1 + 7w = 4(w + -5) Reorder the terms: 1 + 7w = 4(-5 + w) 1 + 7w = (-5 * 4 + w * 4) 1 + 7w = (-20 + 4w) Solving 1 + 7w = -20 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 1 + 7w + -4w = -20 + 4w + -4w Combine like terms: 7w + -4w = 3w 1 + 3w = -20 + 4w + -4w Combine like terms: 4w + -4w = 0 1 + 3w = -20 + 0 1 + 3w = -20 Add '-1' to each side of the equation. 1 + -1 + 3w = -20 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = -20 + -1 3w = -20 + -1 Combine like terms: -20 + -1 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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