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Simplifying 129 = 42 + 9 + 3(2z) Remove parenthesis around (2z) 129 = 42 + 9 + 3 * 2z Multiply 3 * 2 129 = 42 + 9 + 6z Combine like terms: 42 + 9 = 51 129 = 51 + 6z Solving 129 = 51 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 129 + -6z = 51 + 6z + -6z Combine like terms: 6z + -6z = 0 129 + -6z = 51 + 0 129 + -6z = 51 Add '-129' to each side of the equation. 129 + -129 + -6z = 51 + -129 Combine like terms: 129 + -129 = 0 0 + -6z = 51 + -129 -6z = 51 + -129 Combine like terms: 51 + -129 = -78 -6z = -78 Divide each side by '-6'. z = 13 Simplifying z = 13
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