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Simplifying 3w + -15 = -14(w + -5) Reorder the terms: -15 + 3w = -14(w + -5) Reorder the terms: -15 + 3w = -14(-5 + w) -15 + 3w = (-5 * -14 + w * -14) -15 + 3w = (70 + -14w) Solving -15 + 3w = 70 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. -15 + 3w + 14w = 70 + -14w + 14w Combine like terms: 3w + 14w = 17w -15 + 17w = 70 + -14w + 14w Combine like terms: -14w + 14w = 0 -15 + 17w = 70 + 0 -15 + 17w = 70 Add '15' to each side of the equation. -15 + 15 + 17w = 70 + 15 Combine like terms: -15 + 15 = 0 0 + 17w = 70 + 15 17w = 70 + 15 Combine like terms: 70 + 15 = 85 17w = 85 Divide each side by '17'. w = 5 Simplifying w = 5
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