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Simplifying -1[7z + -1(18z + -6)] = 6 + (10z + -10) Reorder the terms: -1[7z + -1(-6 + 18z)] = 6 + (10z + -10) -1[7z + (-6 * -1 + 18z * -1)] = 6 + (10z + -10) -1[7z + (6 + -18z)] = 6 + (10z + -10) Reorder the terms: -1[6 + 7z + -18z] = 6 + (10z + -10) Combine like terms: 7z + -18z = -11z -1[6 + -11z] = 6 + (10z + -10) [6 * -1 + -11z * -1] = 6 + (10z + -10) [-6 + 11z] = 6 + (10z + -10) Reorder the terms: -6 + 11z = 6 + (-10 + 10z) Remove parenthesis around (-10 + 10z) -6 + 11z = 6 + -10 + 10z Combine like terms: 6 + -10 = -4 -6 + 11z = -4 + 10z Solving -6 + 11z = -4 + 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. -6 + 11z + -10z = -4 + 10z + -10z Combine like terms: 11z + -10z = 1z -6 + 1z = -4 + 10z + -10z Combine like terms: 10z + -10z = 0 -6 + 1z = -4 + 0 -6 + 1z = -4 Add '6' to each side of the equation. -6 + 6 + 1z = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = -4 + 6 1z = -4 + 6 Combine like terms: -4 + 6 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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