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Simplifying -6w + -3(5z + -4w) + 6 = 0 Reorder the terms: -6w + -3(-4w + 5z) + 6 = 0 -6w + (-4w * -3 + 5z * -3) + 6 = 0 -6w + (12w + -15z) + 6 = 0 Reorder the terms: 6 + -6w + 12w + -15z = 0 Combine like terms: -6w + 12w = 6w 6 + 6w + -15z = 0 Solving 6 + 6w + -15z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6w + -6 + -15z = 0 + -6 Reorder the terms: 6 + -6 + 6w + -15z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6w + -15z = 0 + -6 6w + -15z = 0 + -6 Combine like terms: 0 + -6 = -6 6w + -15z = -6 Add '15z' to each side of the equation. 6w + -15z + 15z = -6 + 15z Combine like terms: -15z + 15z = 0 6w + 0 = -6 + 15z 6w = -6 + 15z Divide each side by '6'. w = -1 + 2.5z Simplifying w = -1 + 2.5z
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