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Simplifying 8z + -1(1 + -2) = 47 + -3z Combine like terms: 1 + -2 = -1 8z + -1(-1) = 47 + -3z Multiply -1 * -1 8z + 1 = 47 + -3z Reorder the terms: 1 + 8z = 47 + -3z Solving 1 + 8z = 47 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 1 + 8z + 3z = 47 + -3z + 3z Combine like terms: 8z + 3z = 11z 1 + 11z = 47 + -3z + 3z Combine like terms: -3z + 3z = 0 1 + 11z = 47 + 0 1 + 11z = 47 Add '-1' to each side of the equation. 1 + -1 + 11z = 47 + -1 Combine like terms: 1 + -1 = 0 0 + 11z = 47 + -1 11z = 47 + -1 Combine like terms: 47 + -1 = 46 11z = 46 Divide each side by '11'. z = 4.181818182 Simplifying z = 4.181818182
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