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Simplifying 8(w + -1) = 6w + -12 Reorder the terms: 8(-1 + w) = 6w + -12 (-1 * 8 + w * 8) = 6w + -12 (-8 + 8w) = 6w + -12 Reorder the terms: -8 + 8w = -12 + 6w Solving -8 + 8w = -12 + 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. -8 + 8w + -6w = -12 + 6w + -6w Combine like terms: 8w + -6w = 2w -8 + 2w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -8 + 2w = -12 + 0 -8 + 2w = -12 Add '8' to each side of the equation. -8 + 8 + 2w = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = -12 + 8 2w = -12 + 8 Combine like terms: -12 + 8 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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