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Simplifying 3w + 3 = 7w + -5 Reorder the terms: 3 + 3w = 7w + -5 Reorder the terms: 3 + 3w = -5 + 7w Solving 3 + 3w = -5 + 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. 3 + 3w + -7w = -5 + 7w + -7w Combine like terms: 3w + -7w = -4w 3 + -4w = -5 + 7w + -7w Combine like terms: 7w + -7w = 0 3 + -4w = -5 + 0 3 + -4w = -5 Add '-3' to each side of the equation. 3 + -3 + -4w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = -5 + -3 -4w = -5 + -3 Combine like terms: -5 + -3 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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