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Simplifying 7z + -1(14z + 10) = 10 + (6z + 2) Reorder the terms: 7z + -1(10 + 14z) = 10 + (6z + 2) 7z + (10 * -1 + 14z * -1) = 10 + (6z + 2) 7z + (-10 + -14z) = 10 + (6z + 2) Reorder the terms: -10 + 7z + -14z = 10 + (6z + 2) Combine like terms: 7z + -14z = -7z -10 + -7z = 10 + (6z + 2) Reorder the terms: -10 + -7z = 10 + (2 + 6z) Remove parenthesis around (2 + 6z) -10 + -7z = 10 + 2 + 6z Combine like terms: 10 + 2 = 12 -10 + -7z = 12 + 6z Solving -10 + -7z = 12 + 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. -10 + -7z + -6z = 12 + 6z + -6z Combine like terms: -7z + -6z = -13z -10 + -13z = 12 + 6z + -6z Combine like terms: 6z + -6z = 0 -10 + -13z = 12 + 0 -10 + -13z = 12 Add '10' to each side of the equation. -10 + 10 + -13z = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -13z = 12 + 10 -13z = 12 + 10 Combine like terms: 12 + 10 = 22 -13z = 22 Divide each side by '-13'. z = -1.692307692 Simplifying z = -1.692307692
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