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Simplifying 7w + -21 = 3w + -3 Reorder the terms: -21 + 7w = 3w + -3 Reorder the terms: -21 + 7w = -3 + 3w Solving -21 + 7w = -3 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -21 + 7w + -3w = -3 + 3w + -3w Combine like terms: 7w + -3w = 4w -21 + 4w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 -21 + 4w = -3 + 0 -21 + 4w = -3 Add '21' to each side of the equation. -21 + 21 + 4w = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 4w = -3 + 21 4w = -3 + 21 Combine like terms: -3 + 21 = 18 4w = 18 Divide each side by '4'. w = 4.5 Simplifying w = 4.5
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