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Simplifying 8z + -7 = 3z + -13 + 7z Reorder the terms: -7 + 8z = 3z + -13 + 7z Reorder the terms: -7 + 8z = -13 + 3z + 7z Combine like terms: 3z + 7z = 10z -7 + 8z = -13 + 10z Solving -7 + 8z = -13 + 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 = -13 + 10z + -10z Combine like terms: 8z + -10z = -2z -7 + -2z = -13 + 10z + -10z Combine like terms: 10z + -10z = 0 -7 + -2z = -13 + 0 -7 + -2z = -13 Add '7' to each side of the equation. -7 + 7 + -2z = -13 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = -13 + 7 -2z = -13 + 7 Combine like terms: -13 + 7 = -6 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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