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Simplifying 71 = 11 + -1(6z + -3) Reorder the terms: 71 = 11 + -1(-3 + 6z) 71 = 11 + (-3 * -1 + 6z * -1) 71 = 11 + (3 + -6z) Combine like terms: 11 + 3 = 14 71 = 14 + -6z Solving 71 = 14 + -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. 71 + 6z = 14 + -6z + 6z Combine like terms: -6z + 6z = 0 71 + 6z = 14 + 0 71 + 6z = 14 Add '-71' to each side of the equation. 71 + -71 + 6z = 14 + -71 Combine like terms: 71 + -71 = 0 0 + 6z = 14 + -71 6z = 14 + -71 Combine like terms: 14 + -71 = -57 6z = -57 Divide each side by '6'. z = -9.5 Simplifying z = -9.5
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