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Simplifying (2z + -1(10z + 6)) = 6 + (7z + 0) Reorder the terms: (2z + -1(6 + 10z)) = 6 + (7z + 0) (2z + (6 * -1 + 10z * -1)) = 6 + (7z + 0) (2z + (-6 + -10z)) = 6 + (7z + 0) Reorder the terms: (-6 + 2z + -10z) = 6 + (7z + 0) Combine like terms: 2z + -10z = -8z (-6 + -8z) = 6 + (7z + 0) Remove parenthesis around (-6 + -8z) -6 + -8z = 6 + (7z + 0) Reorder the terms: -6 + -8z = 6 + (0 + 7z) Remove the zero: -6 + -8z = 6 + (7z) -6 + -8z = 6 + (7z) Solving -6 + -8z = 6 + (7z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-7z)' to each side of the equation. -6 + -8z + (-7z) = 6 + (7z) + (-7z) Combine like terms: -8z + (-7z) = -15z -6 + -15z = 6 + (7z) + (-7z) Combine like terms: (7z) + (-7z) = 0 -6 + -15z = 6 + 0 -6 + -15z = 6 Add '6' to each side of the equation. -6 + 6 + -15z = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -15z = 6 + 6 -15z = 6 + 6 Combine like terms: 6 + 6 = 12 -15z = 12 Divide each side by '-15'. z = -0.8 Simplifying z = -0.8
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