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Simplifying -8(w + -1) + -6w = -4w + -12 Reorder the terms: -8(-1 + w) + -6w = -4w + -12 (-1 * -8 + w * -8) + -6w = -4w + -12 (8 + -8w) + -6w = -4w + -12 Combine like terms: -8w + -6w = -14w 8 + -14w = -4w + -12 Reorder the terms: 8 + -14w = -12 + -4w Solving 8 + -14w = -12 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 8 + -14w + 4w = -12 + -4w + 4w Combine like terms: -14w + 4w = -10w 8 + -10w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + -10w = -12 + 0 8 + -10w = -12 Add '-8' to each side of the equation. 8 + -8 + -10w = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10w = -12 + -8 -10w = -12 + -8 Combine like terms: -12 + -8 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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