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Simplifying 8w + -26 = 2(w + -1) Reorder the terms: -26 + 8w = 2(w + -1) Reorder the terms: -26 + 8w = 2(-1 + w) -26 + 8w = (-1 * 2 + w * 2) -26 + 8w = (-2 + 2w) Solving -26 + 8w = -2 + 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. -26 + 8w + -2w = -2 + 2w + -2w Combine like terms: 8w + -2w = 6w -26 + 6w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 -26 + 6w = -2 + 0 -26 + 6w = -2 Add '26' to each side of the equation. -26 + 26 + 6w = -2 + 26 Combine like terms: -26 + 26 = 0 0 + 6w = -2 + 26 6w = -2 + 26 Combine like terms: -2 + 26 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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