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Simplifying -38 = -8w + 6(w + -6) Reorder the terms: -38 = -8w + 6(-6 + w) -38 = -8w + (-6 * 6 + w * 6) -38 = -8w + (-36 + 6w) Reorder the terms: -38 = -36 + -8w + 6w Combine like terms: -8w + 6w = -2w -38 = -36 + -2w Solving -38 = -36 + -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. -38 + 2w = -36 + -2w + 2w Combine like terms: -2w + 2w = 0 -38 + 2w = -36 + 0 -38 + 2w = -36 Add '38' to each side of the equation. -38 + 38 + 2w = -36 + 38 Combine like terms: -38 + 38 = 0 0 + 2w = -36 + 38 2w = -36 + 38 Combine like terms: -36 + 38 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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