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Simplifying -5(-1z + 3) + 10 = 5 + -6z Reorder the terms: -5(3 + -1z) + 10 = 5 + -6z (3 * -5 + -1z * -5) + 10 = 5 + -6z (-15 + 5z) + 10 = 5 + -6z Reorder the terms: -15 + 10 + 5z = 5 + -6z Combine like terms: -15 + 10 = -5 -5 + 5z = 5 + -6z Solving -5 + 5z = 5 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -5 + 5z + 6z = 5 + -6z + 6z Combine like terms: 5z + 6z = 11z -5 + 11z = 5 + -6z + 6z Combine like terms: -6z + 6z = 0 -5 + 11z = 5 + 0 -5 + 11z = 5 Add '5' to each side of the equation. -5 + 5 + 11z = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 11z = 5 + 5 11z = 5 + 5 Combine like terms: 5 + 5 = 10 11z = 10 Divide each side by '11'. z = 0.9090909091 Simplifying z = 0.9090909091
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