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Simplifying -6(w + 6) = 2w + 28 Reorder the terms: -6(6 + w) = 2w + 28 (6 * -6 + w * -6) = 2w + 28 (-36 + -6w) = 2w + 28 Reorder the terms: -36 + -6w = 28 + 2w Solving -36 + -6w = 28 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -36 + -6w + -2w = 28 + 2w + -2w Combine like terms: -6w + -2w = -8w -36 + -8w = 28 + 2w + -2w Combine like terms: 2w + -2w = 0 -36 + -8w = 28 + 0 -36 + -8w = 28 Add '36' to each side of the equation. -36 + 36 + -8w = 28 + 36 Combine like terms: -36 + 36 = 0 0 + -8w = 28 + 36 -8w = 28 + 36 Combine like terms: 28 + 36 = 64 -8w = 64 Divide each side by '-8'. w = -8 Simplifying w = -8
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