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