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Simplifying -3(z + 1) = -2z + -1 Reorder the terms: -3(1 + z) = -2z + -1 (1 * -3 + z * -3) = -2z + -1 (-3 + -3z) = -2z + -1 Reorder the terms: -3 + -3z = -1 + -2z Solving -3 + -3z = -1 + -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. -3 + -3z + 2z = -1 + -2z + 2z Combine like terms: -3z + 2z = -1z -3 + -1z = -1 + -2z + 2z Combine like terms: -2z + 2z = 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 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2
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