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Simplifying 8w + -8 = 2(w + -7) Reorder the terms: -8 + 8w = 2(w + -7) Reorder the terms: -8 + 8w = 2(-7 + w) -8 + 8w = (-7 * 2 + w * 2) -8 + 8w = (-14 + 2w) Solving -8 + 8w = -14 + 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. -8 + 8w + -2w = -14 + 2w + -2w Combine like terms: 8w + -2w = 6w -8 + 6w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 6w = -14 + 0 -8 + 6w = -14 Add '8' to each side of the equation. -8 + 8 + 6w = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = -14 + 8 6w = -14 + 8 Combine like terms: -14 + 8 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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