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Simplifying -3(z + 1) = -5(z + -1) Reorder the terms: -3(1 + z) = -5(z + -1) (1 * -3 + z * -3) = -5(z + -1) (-3 + -3z) = -5(z + -1) Reorder the terms: -3 + -3z = -5(-1 + z) -3 + -3z = (-1 * -5 + z * -5) -3 + -3z = (5 + -5z) Solving -3 + -3z = 5 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -3 + -3z + 5z = 5 + -5z + 5z Combine like terms: -3z + 5z = 2z -3 + 2z = 5 + -5z + 5z Combine like terms: -5z + 5z = 0 -3 + 2z = 5 + 0 -3 + 2z = 5 Add '3' to each side of the equation. -3 + 3 + 2z = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 5 + 3 2z = 5 + 3 Combine like terms: 5 + 3 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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