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Simplifying -10 + 3w = 10 + 7w Solving -10 + 3w = 10 + 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. -10 + 3w + -7w = 10 + 7w + -7w Combine like terms: 3w + -7w = -4w -10 + -4w = 10 + 7w + -7w Combine like terms: 7w + -7w = 0 -10 + -4w = 10 + 0 -10 + -4w = 10 Add '10' to each side of the equation. -10 + 10 + -4w = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4w = 10 + 10 -4w = 10 + 10 Combine like terms: 10 + 10 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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