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Simplifying 15w + -4(3w + -1) = 19 Reorder the terms: 15w + -4(-1 + 3w) = 19 15w + (-1 * -4 + 3w * -4) = 19 15w + (4 + -12w) = 19 Reorder the terms: 4 + 15w + -12w = 19 Combine like terms: 15w + -12w = 3w 4 + 3w = 19 Solving 4 + 3w = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3w = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = 19 + -4 3w = 19 + -4 Combine like terms: 19 + -4 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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