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Simplifying -6w + -14 = -8(w + 1) Reorder the terms: -14 + -6w = -8(w + 1) Reorder the terms: -14 + -6w = -8(1 + w) -14 + -6w = (1 * -8 + w * -8) -14 + -6w = (-8 + -8w) Solving -14 + -6w = -8 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -14 + -6w + 8w = -8 + -8w + 8w Combine like terms: -6w + 8w = 2w -14 + 2w = -8 + -8w + 8w Combine like terms: -8w + 8w = 0 -14 + 2w = -8 + 0 -14 + 2w = -8 Add '14' to each side of the equation. -14 + 14 + 2w = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = -8 + 14 2w = -8 + 14 Combine like terms: -8 + 14 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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