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Simplifying 5z + -1[2 + -5(6z + -9)] = 0 Reorder the terms: 5z + -1[2 + -5(-9 + 6z)] = 0 5z + -1[2 + (-9 * -5 + 6z * -5)] = 0 5z + -1[2 + (45 + -30z)] = 0 Combine like terms: 2 + 45 = 47 5z + -1[47 + -30z] = 0 5z + [47 * -1 + -30z * -1] = 0 5z + [-47 + 30z] = 0 Reorder the terms: -47 + 5z + 30z = 0 Combine like terms: 5z + 30z = 35z -47 + 35z = 0 Solving -47 + 35z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 35z = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 35z = 0 + 47 35z = 0 + 47 Combine like terms: 0 + 47 = 47 35z = 47 Divide each side by '35'. z = 1.342857143 Simplifying z = 1.342857143
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