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Simplifying -3w + 21 = 4(w + 7) Reorder the terms: 21 + -3w = 4(w + 7) Reorder the terms: 21 + -3w = 4(7 + w) 21 + -3w = (7 * 4 + w * 4) 21 + -3w = (28 + 4w) Solving 21 + -3w = 28 + 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. 21 + -3w + -4w = 28 + 4w + -4w Combine like terms: -3w + -4w = -7w 21 + -7w = 28 + 4w + -4w Combine like terms: 4w + -4w = 0 21 + -7w = 28 + 0 21 + -7w = 28 Add '-21' to each side of the equation. 21 + -21 + -7w = 28 + -21 Combine like terms: 21 + -21 = 0 0 + -7w = 28 + -21 -7w = 28 + -21 Combine like terms: 28 + -21 = 7 -7w = 7 Divide each side by '-7'. w = -1 Simplifying w = -1
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