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Simplifying 4(w + 5) = 7w + -1 Reorder the terms: 4(5 + w) = 7w + -1 (5 * 4 + w * 4) = 7w + -1 (20 + 4w) = 7w + -1 Reorder the terms: 20 + 4w = -1 + 7w Solving 20 + 4w = -1 + 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. 20 + 4w + -7w = -1 + 7w + -7w Combine like terms: 4w + -7w = -3w 20 + -3w = -1 + 7w + -7w Combine like terms: 7w + -7w = 0 20 + -3w = -1 + 0 20 + -3w = -1 Add '-20' to each side of the equation. 20 + -20 + -3w = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -3w = -1 + -20 -3w = -1 + -20 Combine like terms: -1 + -20 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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