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Simplifying 70 = 3z + 3 + 2z + 2 + 3z + 3 + 2z + 2 Reorder the terms: 70 = 3 + 2 + 3 + 2 + 3z + 2z + 3z + 2z Combine like terms: 3 + 2 = 5 70 = 5 + 3 + 2 + 3z + 2z + 3z + 2z Combine like terms: 5 + 3 = 8 70 = 8 + 2 + 3z + 2z + 3z + 2z Combine like terms: 8 + 2 = 10 70 = 10 + 3z + 2z + 3z + 2z Combine like terms: 3z + 2z = 5z 70 = 10 + 5z + 3z + 2z Combine like terms: 5z + 3z = 8z 70 = 10 + 8z + 2z Combine like terms: 8z + 2z = 10z 70 = 10 + 10z Solving 70 = 10 + 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. 70 + -10z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 70 + -10z = 10 + 0 70 + -10z = 10 Add '-70' to each side of the equation. 70 + -70 + -10z = 10 + -70 Combine like terms: 70 + -70 = 0 0 + -10z = 10 + -70 -10z = 10 + -70 Combine like terms: 10 + -70 = -60 -10z = -60 Divide each side by '-10'. z = 6 Simplifying z = 6
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