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Simplifying -8z + (2z + 10) + 2(3) = 0 Reorder the terms: -8z + (10 + 2z) + 2(3) = 0 Remove parenthesis around (10 + 2z) -8z + 10 + 2z + 2(3) = 0 Multiply 2 * 3 -8z + 10 + 2z + 6 = 0 Reorder the terms: 10 + 6 + -8z + 2z = 0 Combine like terms: 10 + 6 = 16 16 + -8z + 2z = 0 Combine like terms: -8z + 2z = -6z 16 + -6z = 0 Solving 16 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -6z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6z = 0 + -16 -6z = 0 + -16 Combine like terms: 0 + -16 = -16 -6z = -16 Divide each side by '-6'. z = 2.666666667 Simplifying z = 2.666666667
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