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Simplifying 6w + 38 = -2(w + 9) Reorder the terms: 38 + 6w = -2(w + 9) Reorder the terms: 38 + 6w = -2(9 + w) 38 + 6w = (9 * -2 + w * -2) 38 + 6w = (-18 + -2w) Solving 38 + 6w = -18 + -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 + 6w + 2w = -18 + -2w + 2w Combine like terms: 6w + 2w = 8w 38 + 8w = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 38 + 8w = -18 + 0 38 + 8w = -18 Add '-38' to each side of the equation. 38 + -38 + 8w = -18 + -38 Combine like terms: 38 + -38 = 0 0 + 8w = -18 + -38 8w = -18 + -38 Combine like terms: -18 + -38 = -56 8w = -56 Divide each side by '8'. w = -7 Simplifying w = -7
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