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Simplifying 6w + 40 = -2(w + 8) Reorder the terms: 40 + 6w = -2(w + 8) Reorder the terms: 40 + 6w = -2(8 + w) 40 + 6w = (8 * -2 + w * -2) 40 + 6w = (-16 + -2w) Solving 40 + 6w = -16 + -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. 40 + 6w + 2w = -16 + -2w + 2w Combine like terms: 6w + 2w = 8w 40 + 8w = -16 + -2w + 2w Combine like terms: -2w + 2w = 0 40 + 8w = -16 + 0 40 + 8w = -16 Add '-40' to each side of the equation. 40 + -40 + 8w = -16 + -40 Combine like terms: 40 + -40 = 0 0 + 8w = -16 + -40 8w = -16 + -40 Combine like terms: -16 + -40 = -56 8w = -56 Divide each side by '8'. w = -7 Simplifying w = -7
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