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Simplifying -5(-4w + 6) + -6w = 4(w + -3) + -2 Reorder the terms: -5(6 + -4w) + -6w = 4(w + -3) + -2 (6 * -5 + -4w * -5) + -6w = 4(w + -3) + -2 (-30 + 20w) + -6w = 4(w + -3) + -2 Combine like terms: 20w + -6w = 14w -30 + 14w = 4(w + -3) + -2 Reorder the terms: -30 + 14w = 4(-3 + w) + -2 -30 + 14w = (-3 * 4 + w * 4) + -2 -30 + 14w = (-12 + 4w) + -2 Reorder the terms: -30 + 14w = -12 + -2 + 4w Combine like terms: -12 + -2 = -14 -30 + 14w = -14 + 4w Solving -30 + 14w = -14 + 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. -30 + 14w + -4w = -14 + 4w + -4w Combine like terms: 14w + -4w = 10w -30 + 10w = -14 + 4w + -4w Combine like terms: 4w + -4w = 0 -30 + 10w = -14 + 0 -30 + 10w = -14 Add '30' to each side of the equation. -30 + 30 + 10w = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 10w = -14 + 30 10w = -14 + 30 Combine like terms: -14 + 30 = 16 10w = 16 Divide each side by '10'. w = 1.6 Simplifying w = 1.6
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