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Simplifying z + -1(2z + -1[3z + -1(4z + -5z) + -6z] + -7z) + -8z = 0 Combine like terms: 4z + -5z = -1z z + -1(2z + -1[3z + -1(-1z) + -6z] + -7z) + -8z = 0 Remove parenthesis around (-1z) z + -1(2z + -1[3z + -1 * -1z + -6z] + -7z) + -8z = 0 Multiply -1 * -1 z + -1(2z + -1[3z + 1z + -6z] + -7z) + -8z = 0 Combine like terms: 3z + 1z = 4z z + -1(2z + -1[4z + -6z] + -7z) + -8z = 0 Combine like terms: 4z + -6z = -2z z + -1(2z + -1[-2z] + -7z) + -8z = 0 Remove brackets around [-2z] z + -1(2z + -1 * -2z + -7z) + -8z = 0 Multiply -1 * -2 z + -1(2z + 2z + -7z) + -8z = 0 Combine like terms: 2z + 2z = 4z z + -1(4z + -7z) + -8z = 0 Combine like terms: 4z + -7z = -3z z + -1(-3z) + -8z = 0 Remove parenthesis around (-3z) z + -1 * -3z + -8z = 0 Multiply -1 * -3 z + 3z + -8z = 0 Combine like terms: z + 3z = 4z 4z + -8z = 0 Combine like terms: 4z + -8z = -4z -4z = 0 Solving -4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '-4'. z = 0 Simplifying z = 0
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