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Simplifying -10 = -8w + 6(w + -2) Reorder the terms: -10 = -8w + 6(-2 + w) -10 = -8w + (-2 * 6 + w * 6) -10 = -8w + (-12 + 6w) Reorder the terms: -10 = -12 + -8w + 6w Combine like terms: -8w + 6w = -2w -10 = -12 + -2w Solving -10 = -12 + -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. -10 + 2w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 -10 + 2w = -12 + 0 -10 + 2w = -12 Add '10' to each side of the equation. -10 + 10 + 2w = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -12 + 10 2w = -12 + 10 Combine like terms: -12 + 10 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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