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Simplifying 3z + -1 = 2(z + -1) Reorder the terms: -1 + 3z = 2(z + -1) Reorder the terms: -1 + 3z = 2(-1 + z) -1 + 3z = (-1 * 2 + z * 2) -1 + 3z = (-2 + 2z) Solving -1 + 3z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -1 + 3z + -2z = -2 + 2z + -2z Combine like terms: 3z + -2z = 1z -1 + 1z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 -1 + 1z = -2 + 0 -1 + 1z = -2 Add '1' to each side of the equation. -1 + 1 + 1z = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 1z = -2 + 1 1z = -2 + 1 Combine like terms: -2 + 1 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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