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Simplifying -4w + -28 = -8(w + 3) Reorder the terms: -28 + -4w = -8(w + 3) Reorder the terms: -28 + -4w = -8(3 + w) -28 + -4w = (3 * -8 + w * -8) -28 + -4w = (-24 + -8w) Solving -28 + -4w = -24 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -28 + -4w + 8w = -24 + -8w + 8w Combine like terms: -4w + 8w = 4w -28 + 4w = -24 + -8w + 8w Combine like terms: -8w + 8w = 0 -28 + 4w = -24 + 0 -28 + 4w = -24 Add '28' to each side of the equation. -28 + 28 + 4w = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 4w = -24 + 28 4w = -24 + 28 Combine like terms: -24 + 28 = 4 4w = 4 Divide each side by '4'. w = 1 Simplifying w = 1
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