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Simplifying 8w + -44 = 6(w + -6) Reorder the terms: -44 + 8w = 6(w + -6) Reorder the terms: -44 + 8w = 6(-6 + w) -44 + 8w = (-6 * 6 + w * 6) -44 + 8w = (-36 + 6w) Solving -44 + 8w = -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. -44 + 8w + -6w = -36 + 6w + -6w Combine like terms: 8w + -6w = 2w -44 + 2w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 -44 + 2w = -36 + 0 -44 + 2w = -36 Add '44' to each side of the equation. -44 + 44 + 2w = -36 + 44 Combine like terms: -44 + 44 = 0 0 + 2w = -36 + 44 2w = -36 + 44 Combine like terms: -36 + 44 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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