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Simplifying 2z + -5(z + 1) = 3z + 1 Reorder the terms: 2z + -5(1 + z) = 3z + 1 2z + (1 * -5 + z * -5) = 3z + 1 2z + (-5 + -5z) = 3z + 1 Reorder the terms: -5 + 2z + -5z = 3z + 1 Combine like terms: 2z + -5z = -3z -5 + -3z = 3z + 1 Reorder the terms: -5 + -3z = 1 + 3z Solving -5 + -3z = 1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -5 + -3z + -3z = 1 + 3z + -3z Combine like terms: -3z + -3z = -6z -5 + -6z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -5 + -6z = 1 + 0 -5 + -6z = 1 Add '5' to each side of the equation. -5 + 5 + -6z = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -6z = 1 + 5 -6z = 1 + 5 Combine like terms: 1 + 5 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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