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