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Simplifying 8w + 10 = 6(w + -1) Reorder the terms: 10 + 8w = 6(w + -1) Reorder the terms: 10 + 8w = 6(-1 + w) 10 + 8w = (-1 * 6 + w * 6) 10 + 8w = (-6 + 6w) Solving 10 + 8w = -6 + 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. 10 + 8w + -6w = -6 + 6w + -6w Combine like terms: 8w + -6w = 2w 10 + 2w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + 2w = -6 + 0 10 + 2w = -6 Add '-10' to each side of the equation. 10 + -10 + 2w = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = -6 + -10 2w = -6 + -10 Combine like terms: -6 + -10 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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