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Simplifying -3w + -5(-2 + 5w) + -4z = 0 -3w + (-2 * -5 + 5w * -5) + -4z = 0 -3w + (10 + -25w) + -4z = 0 Reorder the terms: 10 + -3w + -25w + -4z = 0 Combine like terms: -3w + -25w = -28w 10 + -28w + -4z = 0 Solving 10 + -28w + -4z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -28w + -10 + -4z = 0 + -10 Reorder the terms: 10 + -10 + -28w + -4z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -28w + -4z = 0 + -10 -28w + -4z = 0 + -10 Combine like terms: 0 + -10 = -10 -28w + -4z = -10 Add '4z' to each side of the equation. -28w + -4z + 4z = -10 + 4z Combine like terms: -4z + 4z = 0 -28w + 0 = -10 + 4z -28w = -10 + 4z Divide each side by '-28'. w = 0.3571428571 + -0.1428571429z Simplifying w = 0.3571428571 + -0.1428571429z
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