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Simplifying -2(-7w + 6) + -6w = 4(w + -6) + -2 Reorder the terms: -2(6 + -7w) + -6w = 4(w + -6) + -2 (6 * -2 + -7w * -2) + -6w = 4(w + -6) + -2 (-12 + 14w) + -6w = 4(w + -6) + -2 Combine like terms: 14w + -6w = 8w -12 + 8w = 4(w + -6) + -2 Reorder the terms: -12 + 8w = 4(-6 + w) + -2 -12 + 8w = (-6 * 4 + w * 4) + -2 -12 + 8w = (-24 + 4w) + -2 Reorder the terms: -12 + 8w = -24 + -2 + 4w Combine like terms: -24 + -2 = -26 -12 + 8w = -26 + 4w Solving -12 + 8w = -26 + 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. -12 + 8w + -4w = -26 + 4w + -4w Combine like terms: 8w + -4w = 4w -12 + 4w = -26 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + 4w = -26 + 0 -12 + 4w = -26 Add '12' to each side of the equation. -12 + 12 + 4w = -26 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = -26 + 12 4w = -26 + 12 Combine like terms: -26 + 12 = -14 4w = -14 Divide each side by '4'. w = -3.5 Simplifying w = -3.5
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