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Simplifying 78 = 3z + -2 + 2z + 1 + 3z + -2 + 2z + 1 Reorder the terms: 78 = -2 + 1 + -2 + 1 + 3z + 2z + 3z + 2z Combine like terms: -2 + 1 = -1 78 = -1 + -2 + 1 + 3z + 2z + 3z + 2z Combine like terms: -1 + -2 = -3 78 = -3 + 1 + 3z + 2z + 3z + 2z Combine like terms: -3 + 1 = -2 78 = -2 + 3z + 2z + 3z + 2z Combine like terms: 3z + 2z = 5z 78 = -2 + 5z + 3z + 2z Combine like terms: 5z + 3z = 8z 78 = -2 + 8z + 2z Combine like terms: 8z + 2z = 10z 78 = -2 + 10z Solving 78 = -2 + 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. 78 + -10z = -2 + 10z + -10z Combine like terms: 10z + -10z = 0 78 + -10z = -2 + 0 78 + -10z = -2 Add '-78' to each side of the equation. 78 + -78 + -10z = -2 + -78 Combine like terms: 78 + -78 = 0 0 + -10z = -2 + -78 -10z = -2 + -78 Combine like terms: -2 + -78 = -80 -10z = -80 Divide each side by '-10'. z = 8 Simplifying z = 8
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