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Simplifying 8(w + -2) + 4 = 6w + -12 Reorder the terms: 8(-2 + w) + 4 = 6w + -12 (-2 * 8 + w * 8) + 4 = 6w + -12 (-16 + 8w) + 4 = 6w + -12 Reorder the terms: -16 + 4 + 8w = 6w + -12 Combine like terms: -16 + 4 = -12 -12 + 8w = 6w + -12 Reorder the terms: -12 + 8w = -12 + 6w Add '12' to each side of the equation. -12 + 12 + 8w = -12 + 12 + 6w Combine like terms: -12 + 12 = 0 0 + 8w = -12 + 12 + 6w 8w = -12 + 12 + 6w Combine like terms: -12 + 12 = 0 8w = 0 + 6w 8w = 6w Solving 8w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 8w + -6w = 6w + -6w Combine like terms: 8w + -6w = 2w 2w = 6w + -6w Combine like terms: 6w + -6w = 0 2w = 0 Divide each side by '2'. w = 0 Simplifying w = 0
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