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Simplifying 1 = z + 3(z + -1) Reorder the terms: 1 = z + 3(-1 + z) 1 = z + (-1 * 3 + z * 3) 1 = z + (-3 + 3z) Reorder the terms: 1 = -3 + z + 3z Combine like terms: z + 3z = 4z 1 = -3 + 4z Solving 1 = -3 + 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. 1 + -4z = -3 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -4z = -3 + 0 1 + -4z = -3 Add '-1' to each side of the equation. 1 + -1 + -4z = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = -3 + -1 -4z = -3 + -1 Combine like terms: -3 + -1 = -4 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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