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Simplifying 2z + -31 = 6z + 24 Reorder the terms: -31 + 2z = 6z + 24 Reorder the terms: -31 + 2z = 24 + 6z Solving -31 + 2z = 24 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -31 + 2z + -6z = 24 + 6z + -6z Combine like terms: 2z + -6z = -4z -31 + -4z = 24 + 6z + -6z Combine like terms: 6z + -6z = 0 -31 + -4z = 24 + 0 -31 + -4z = 24 Add '31' to each side of the equation. -31 + 31 + -4z = 24 + 31 Combine like terms: -31 + 31 = 0 0 + -4z = 24 + 31 -4z = 24 + 31 Combine like terms: 24 + 31 = 55 -4z = 55 Divide each side by '-4'. z = -13.75 Simplifying z = -13.75
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