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Simplifying -1(7z + 10) = 5z Reorder the terms: -1(10 + 7z) = 5z (10 * -1 + 7z * -1) = 5z (-10 + -7z) = 5z Solving -10 + -7z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -10 + -7z + -5z = 5z + -5z Combine like terms: -7z + -5z = -12z -10 + -12z = 5z + -5z Combine like terms: 5z + -5z = 0 -10 + -12z = 0 Add '10' to each side of the equation. -10 + 10 + -12z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -12z = 0 + 10 -12z = 0 + 10 Combine like terms: 0 + 10 = 10 -12z = 10 Divide each side by '-12'. z = -0.8333333333 Simplifying z = -0.8333333333
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