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