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Simplifying -2z + 10 + 7z = 16z + -6 Reorder the terms: 10 + -2z + 7z = 16z + -6 Combine like terms: -2z + 7z = 5z 10 + 5z = 16z + -6 Reorder the terms: 10 + 5z = -6 + 16z Solving 10 + 5z = -6 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 10 + 5z + -16z = -6 + 16z + -16z Combine like terms: 5z + -16z = -11z 10 + -11z = -6 + 16z + -16z Combine like terms: 16z + -16z = 0 10 + -11z = -6 + 0 10 + -11z = -6 Add '-10' to each side of the equation. 10 + -10 + -11z = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -11z = -6 + -10 -11z = -6 + -10 Combine like terms: -6 + -10 = -16 -11z = -16 Divide each side by '-11'. z = 1.454545455 Simplifying z = 1.454545455
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