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Simplifying 4z + -23 = 8z + -7 Reorder the terms: -23 + 4z = 8z + -7 Reorder the terms: -23 + 4z = -7 + 8z Solving -23 + 4z = -7 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -23 + 4z + -8z = -7 + 8z + -8z Combine like terms: 4z + -8z = -4z -23 + -4z = -7 + 8z + -8z Combine like terms: 8z + -8z = 0 -23 + -4z = -7 + 0 -23 + -4z = -7 Add '23' to each side of the equation. -23 + 23 + -4z = -7 + 23 Combine like terms: -23 + 23 = 0 0 + -4z = -7 + 23 -4z = -7 + 23 Combine like terms: -7 + 23 = 16 -4z = 16 Divide each side by '-4'. z = -4 Simplifying z = -4
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