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