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Simplifying 3 + -1z + 5 = 2z + -4 Reorder the terms: 3 + 5 + -1z = 2z + -4 Combine like terms: 3 + 5 = 8 8 + -1z = 2z + -4 Reorder the terms: 8 + -1z = -4 + 2z Solving 8 + -1z = -4 + 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. 8 + -1z + -2z = -4 + 2z + -2z Combine like terms: -1z + -2z = -3z 8 + -3z = -4 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + -3z = -4 + 0 8 + -3z = -4 Add '-8' to each side of the equation. 8 + -8 + -3z = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3z = -4 + -8 -3z = -4 + -8 Combine like terms: -4 + -8 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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