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Simplifying 102 + 4 = 2(5z + 8) + -12 Combine like terms: 102 + 4 = 106 106 = 2(5z + 8) + -12 Reorder the terms: 106 = 2(8 + 5z) + -12 106 = (8 * 2 + 5z * 2) + -12 106 = (16 + 10z) + -12 Reorder the terms: 106 = 16 + -12 + 10z Combine like terms: 16 + -12 = 4 106 = 4 + 10z Solving 106 = 4 + 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. 106 + -10z = 4 + 10z + -10z Combine like terms: 10z + -10z = 0 106 + -10z = 4 + 0 106 + -10z = 4 Add '-106' to each side of the equation. 106 + -106 + -10z = 4 + -106 Combine like terms: 106 + -106 = 0 0 + -10z = 4 + -106 -10z = 4 + -106 Combine like terms: 4 + -106 = -102 -10z = -102 Divide each side by '-10'. z = 10.2 Simplifying z = 10.2
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