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