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