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Simplifying -4(w + -7) = -7w + 19 Reorder the terms: -4(-7 + w) = -7w + 19 (-7 * -4 + w * -4) = -7w + 19 (28 + -4w) = -7w + 19 Reorder the terms: 28 + -4w = 19 + -7w Solving 28 + -4w = 19 + -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. 28 + -4w + 7w = 19 + -7w + 7w Combine like terms: -4w + 7w = 3w 28 + 3w = 19 + -7w + 7w Combine like terms: -7w + 7w = 0 28 + 3w = 19 + 0 28 + 3w = 19 Add '-28' to each side of the equation. 28 + -28 + 3w = 19 + -28 Combine like terms: 28 + -28 = 0 0 + 3w = 19 + -28 3w = 19 + -28 Combine like terms: 19 + -28 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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