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Simplifying -1(10z + -1(21z + 3)) = 3 + (10z + 6) Reorder the terms: -1(10z + -1(3 + 21z)) = 3 + (10z + 6) -1(10z + (3 * -1 + 21z * -1)) = 3 + (10z + 6) -1(10z + (-3 + -21z)) = 3 + (10z + 6) Reorder the terms: -1(-3 + 10z + -21z) = 3 + (10z + 6) Combine like terms: 10z + -21z = -11z -1(-3 + -11z) = 3 + (10z + 6) (-3 * -1 + -11z * -1) = 3 + (10z + 6) (3 + 11z) = 3 + (10z + 6) Reorder the terms: 3 + 11z = 3 + (6 + 10z) Remove parenthesis around (6 + 10z) 3 + 11z = 3 + 6 + 10z Combine like terms: 3 + 6 = 9 3 + 11z = 9 + 10z Solving 3 + 11z = 9 + 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. 3 + 11z + -10z = 9 + 10z + -10z Combine like terms: 11z + -10z = 1z 3 + 1z = 9 + 10z + -10z Combine like terms: 10z + -10z = 0 3 + 1z = 9 + 0 3 + 1z = 9 Add '-3' to each side of the equation. 3 + -3 + 1z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 9 + -3 1z = 9 + -3 Combine like terms: 9 + -3 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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