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Simplifying 5w + -47 = -4(w + -4) Reorder the terms: -47 + 5w = -4(w + -4) Reorder the terms: -47 + 5w = -4(-4 + w) -47 + 5w = (-4 * -4 + w * -4) -47 + 5w = (16 + -4w) Solving -47 + 5w = 16 + -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. -47 + 5w + 4w = 16 + -4w + 4w Combine like terms: 5w + 4w = 9w -47 + 9w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 -47 + 9w = 16 + 0 -47 + 9w = 16 Add '47' to each side of the equation. -47 + 47 + 9w = 16 + 47 Combine like terms: -47 + 47 = 0 0 + 9w = 16 + 47 9w = 16 + 47 Combine like terms: 16 + 47 = 63 9w = 63 Divide each side by '9'. w = 7 Simplifying w = 7
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