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Simplifying -7(z + -1) + -1(2z + -3) = -10z Reorder the terms: -7(-1 + z) + -1(2z + -3) = -10z (-1 * -7 + z * -7) + -1(2z + -3) = -10z (7 + -7z) + -1(2z + -3) = -10z Reorder the terms: 7 + -7z + -1(-3 + 2z) = -10z 7 + -7z + (-3 * -1 + 2z * -1) = -10z 7 + -7z + (3 + -2z) = -10z Reorder the terms: 7 + 3 + -7z + -2z = -10z Combine like terms: 7 + 3 = 10 10 + -7z + -2z = -10z Combine like terms: -7z + -2z = -9z 10 + -9z = -10z Solving 10 + -9z = -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 10 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z 10 + 1z = -10z + 10z Combine like terms: -10z + 10z = 0 10 + 1z = 0 Add '-10' to each side of the equation. 10 + -10 + 1z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 0 + -10 1z = 0 + -10 Combine like terms: 0 + -10 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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