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Simplifying -2w + -28 = -6(w + 6) Reorder the terms: -28 + -2w = -6(w + 6) Reorder the terms: -28 + -2w = -6(6 + w) -28 + -2w = (6 * -6 + w * -6) -28 + -2w = (-36 + -6w) Solving -28 + -2w = -36 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -28 + -2w + 6w = -36 + -6w + 6w Combine like terms: -2w + 6w = 4w -28 + 4w = -36 + -6w + 6w Combine like terms: -6w + 6w = 0 -28 + 4w = -36 + 0 -28 + 4w = -36 Add '28' to each side of the equation. -28 + 28 + 4w = -36 + 28 Combine like terms: -28 + 28 = 0 0 + 4w = -36 + 28 4w = -36 + 28 Combine like terms: -36 + 28 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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