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Simplifying 8z + -7 = -3z + -43 + 5z Reorder the terms: -7 + 8z = -3z + -43 + 5z Reorder the terms: -7 + 8z = -43 + -3z + 5z Combine like terms: -3z + 5z = 2z -7 + 8z = -43 + 2z Solving -7 + 8z = -43 + 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. -7 + 8z + -2z = -43 + 2z + -2z Combine like terms: 8z + -2z = 6z -7 + 6z = -43 + 2z + -2z Combine like terms: 2z + -2z = 0 -7 + 6z = -43 + 0 -7 + 6z = -43 Add '7' to each side of the equation. -7 + 7 + 6z = -43 + 7 Combine like terms: -7 + 7 = 0 0 + 6z = -43 + 7 6z = -43 + 7 Combine like terms: -43 + 7 = -36 6z = -36 Divide each side by '6'. z = -6 Simplifying z = -6
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