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Simplifying -1(-7z + 2) + -10 = 2 + -6z Reorder the terms: -1(2 + -7z) + -10 = 2 + -6z (2 * -1 + -7z * -1) + -10 = 2 + -6z (-2 + 7z) + -10 = 2 + -6z Reorder the terms: -2 + -10 + 7z = 2 + -6z Combine like terms: -2 + -10 = -12 -12 + 7z = 2 + -6z Solving -12 + 7z = 2 + -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. -12 + 7z + 6z = 2 + -6z + 6z Combine like terms: 7z + 6z = 13z -12 + 13z = 2 + -6z + 6z Combine like terms: -6z + 6z = 0 -12 + 13z = 2 + 0 -12 + 13z = 2 Add '12' to each side of the equation. -12 + 12 + 13z = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 13z = 2 + 12 13z = 2 + 12 Combine like terms: 2 + 12 = 14 13z = 14 Divide each side by '13'. z = 1.076923077 Simplifying z = 1.076923077
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