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Simplifying 5z + -1[3z + -1(6z + -7)] = 0 Reorder the terms: 5z + -1[3z + -1(-7 + 6z)] = 0 5z + -1[3z + (-7 * -1 + 6z * -1)] = 0 5z + -1[3z + (7 + -6z)] = 0 Reorder the terms: 5z + -1[7 + 3z + -6z] = 0 Combine like terms: 3z + -6z = -3z 5z + -1[7 + -3z] = 0 5z + [7 * -1 + -3z * -1] = 0 5z + [-7 + 3z] = 0 Reorder the terms: -7 + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z -7 + 8z = 0 Solving -7 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8z = 0 + 7 8z = 0 + 7 Combine like terms: 0 + 7 = 7 8z = 7 Divide each side by '8'. z = 0.875 Simplifying z = 0.875
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