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