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Simplifying 4z + 4 = 3(-1 + z) Reorder the terms: 4 + 4z = 3(-1 + z) 4 + 4z = (-1 * 3 + z * 3) 4 + 4z = (-3 + 3z) Solving 4 + 4z = -3 + 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. 4 + 4z + -3z = -3 + 3z + -3z Combine like terms: 4z + -3z = 1z 4 + 1z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 1z = -3 + 0 4 + 1z = -3 Add '-4' to each side of the equation. 4 + -4 + 1z = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -3 + -4 1z = -3 + -4 Combine like terms: -3 + -4 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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