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Simplifying -3w + -9(4w + -19) = -14 + -15 + -14w Reorder the terms: -3w + -9(-19 + 4w) = -14 + -15 + -14w -3w + (-19 * -9 + 4w * -9) = -14 + -15 + -14w -3w + (171 + -36w) = -14 + -15 + -14w Reorder the terms: 171 + -3w + -36w = -14 + -15 + -14w Combine like terms: -3w + -36w = -39w 171 + -39w = -14 + -15 + -14w Combine like terms: -14 + -15 = -29 171 + -39w = -29 + -14w Solving 171 + -39w = -29 + -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. 171 + -39w + 14w = -29 + -14w + 14w Combine like terms: -39w + 14w = -25w 171 + -25w = -29 + -14w + 14w Combine like terms: -14w + 14w = 0 171 + -25w = -29 + 0 171 + -25w = -29 Add '-171' to each side of the equation. 171 + -171 + -25w = -29 + -171 Combine like terms: 171 + -171 = 0 0 + -25w = -29 + -171 -25w = -29 + -171 Combine like terms: -29 + -171 = -200 -25w = -200 Divide each side by '-25'. w = 8 Simplifying w = 8
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