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Simplifying 102 = 2(4z + 2) + 2(3z) Reorder the terms: 102 = 2(2 + 4z) + 2(3z) 102 = (2 * 2 + 4z * 2) + 2(3z) 102 = (4 + 8z) + 2(3z) Remove parenthesis around (3z) 102 = 4 + 8z + 2 * 3z Multiply 2 * 3 102 = 4 + 8z + 6z Combine like terms: 8z + 6z = 14z 102 = 4 + 14z Solving 102 = 4 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 102 + -14z = 4 + 14z + -14z Combine like terms: 14z + -14z = 0 102 + -14z = 4 + 0 102 + -14z = 4 Add '-102' to each side of the equation. 102 + -102 + -14z = 4 + -102 Combine like terms: 102 + -102 = 0 0 + -14z = 4 + -102 -14z = 4 + -102 Combine like terms: 4 + -102 = -98 -14z = -98 Divide each side by '-14'. z = 7 Simplifying z = 7
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