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