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Simplifying 8w + -6 = 6(w + 1) Reorder the terms: -6 + 8w = 6(w + 1) Reorder the terms: -6 + 8w = 6(1 + w) -6 + 8w = (1 * 6 + w * 6) -6 + 8w = (6 + 6w) Solving -6 + 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. -6 + 8w + -6w = 6 + 6w + -6w Combine like terms: 8w + -6w = 2w -6 + 2w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -6 + 2w = 6 + 0 -6 + 2w = 6 Add '6' to each side of the equation. -6 + 6 + 2w = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 2w = 6 + 6 2w = 6 + 6 Combine like terms: 6 + 6 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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