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Simplifying 7w + -5 = -4(w + -7) Reorder the terms: -5 + 7w = -4(w + -7) Reorder the terms: -5 + 7w = -4(-7 + w) -5 + 7w = (-7 * -4 + w * -4) -5 + 7w = (28 + -4w) Solving -5 + 7w = 28 + -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. -5 + 7w + 4w = 28 + -4w + 4w Combine like terms: 7w + 4w = 11w -5 + 11w = 28 + -4w + 4w Combine like terms: -4w + 4w = 0 -5 + 11w = 28 + 0 -5 + 11w = 28 Add '5' to each side of the equation. -5 + 5 + 11w = 28 + 5 Combine like terms: -5 + 5 = 0 0 + 11w = 28 + 5 11w = 28 + 5 Combine like terms: 28 + 5 = 33 11w = 33 Divide each side by '11'. w = 3 Simplifying w = 3
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