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Simplifying 4w + -21(1 + -1w) = -38 4w + (1 * -21 + -1w * -21) = -38 4w + (-21 + 21w) = -38 Reorder the terms: -21 + 4w + 21w = -38 Combine like terms: 4w + 21w = 25w -21 + 25w = -38 Solving -21 + 25w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 25w = -38 + 21 Combine like terms: -21 + 21 = 0 0 + 25w = -38 + 21 25w = -38 + 21 Combine like terms: -38 + 21 = -17 25w = -17 Divide each side by '25'. w = -0.68 Simplifying w = -0.68
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