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Simplifying 8z + -7 = 5z + 3 + 5z Reorder the terms: -7 + 8z = 5z + 3 + 5z Reorder the terms: -7 + 8z = 3 + 5z + 5z Combine like terms: 5z + 5z = 10z -7 + 8z = 3 + 10z Solving -7 + 8z = 3 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -7 + 8z + -10z = 3 + 10z + -10z Combine like terms: 8z + -10z = -2z -7 + -2z = 3 + 10z + -10z Combine like terms: 10z + -10z = 0 -7 + -2z = 3 + 0 -7 + -2z = 3 Add '7' to each side of the equation. -7 + 7 + -2z = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 3 + 7 -2z = 3 + 7 Combine like terms: 3 + 7 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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