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Simplifying -14 = -6w + 8(w + -2) Reorder the terms: -14 = -6w + 8(-2 + w) -14 = -6w + (-2 * 8 + w * 8) -14 = -6w + (-16 + 8w) Reorder the terms: -14 = -16 + -6w + 8w Combine like terms: -6w + 8w = 2w -14 = -16 + 2w Solving -14 = -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. -14 + -2w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + -2w = -16 + 0 -14 + -2w = -16 Add '14' to each side of the equation. -14 + 14 + -2w = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = -16 + 14 -2w = -16 + 14 Combine like terms: -16 + 14 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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