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Simplifying -6w + -3(5z + -4) + 6 = 0 Reorder the terms: -6w + -3(-4 + 5z) + 6 = 0 -6w + (-4 * -3 + 5z * -3) + 6 = 0 -6w + (12 + -15z) + 6 = 0 Reorder the terms: 12 + 6 + -6w + -15z = 0 Combine like terms: 12 + 6 = 18 18 + -6w + -15z = 0 Solving 18 + -6w + -15z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -6w + -18 + -15z = 0 + -18 Reorder the terms: 18 + -18 + -6w + -15z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6w + -15z = 0 + -18 -6w + -15z = 0 + -18 Combine like terms: 0 + -18 = -18 -6w + -15z = -18 Add '15z' to each side of the equation. -6w + -15z + 15z = -18 + 15z Combine like terms: -15z + 15z = 0 -6w + 0 = -18 + 15z -6w = -18 + 15z Divide each side by '-6'. w = 3 + -2.5z Simplifying w = 3 + -2.5z
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