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Simplifying -4w + -28 = 4(w + -9) Reorder the terms: -28 + -4w = 4(w + -9) Reorder the terms: -28 + -4w = 4(-9 + w) -28 + -4w = (-9 * 4 + w * 4) -28 + -4w = (-36 + 4w) Solving -28 + -4w = -36 + 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. -28 + -4w + -4w = -36 + 4w + -4w Combine like terms: -4w + -4w = -8w -28 + -8w = -36 + 4w + -4w Combine like terms: 4w + -4w = 0 -28 + -8w = -36 + 0 -28 + -8w = -36 Add '28' to each side of the equation. -28 + 28 + -8w = -36 + 28 Combine like terms: -28 + 28 = 0 0 + -8w = -36 + 28 -8w = -36 + 28 Combine like terms: -36 + 28 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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