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Simplifying -47 = -12 + -7w Solving -47 = -12 + -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. -47 + 7w = -12 + -7w + 7w Combine like terms: -7w + 7w = 0 -47 + 7w = -12 + 0 -47 + 7w = -12 Add '47' to each side of the equation. -47 + 47 + 7w = -12 + 47 Combine like terms: -47 + 47 = 0 0 + 7w = -12 + 47 7w = -12 + 47 Combine like terms: -12 + 47 = 35 7w = 35 Divide each side by '7'. w = 5 Simplifying w = 5
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