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Simplifying 2 + -5(z + -1) = 3z + 1 Reorder the terms: 2 + -5(-1 + z) = 3z + 1 2 + (-1 * -5 + z * -5) = 3z + 1 2 + (5 + -5z) = 3z + 1 Combine like terms: 2 + 5 = 7 7 + -5z = 3z + 1 Reorder the terms: 7 + -5z = 1 + 3z Solving 7 + -5z = 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. 7 + -5z + -3z = 1 + 3z + -3z Combine like terms: -5z + -3z = -8z 7 + -8z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + -8z = 1 + 0 7 + -8z = 1 Add '-7' to each side of the equation. 7 + -7 + -8z = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -8z = 1 + -7 -8z = 1 + -7 Combine like terms: 1 + -7 = -6 -8z = -6 Divide each side by '-8'. z = 0.75 Simplifying z = 0.75
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