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Simplifying 15 + -3(z + 1) = 8z Reorder the terms: 15 + -3(1 + z) = 8z 15 + (1 * -3 + z * -3) = 8z 15 + (-3 + -3z) = 8z Combine like terms: 15 + -3 = 12 12 + -3z = 8z Solving 12 + -3z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 12 + -3z + -8z = 8z + -8z Combine like terms: -3z + -8z = -11z 12 + -11z = 8z + -8z Combine like terms: 8z + -8z = 0 12 + -11z = 0 Add '-12' to each side of the equation. 12 + -12 + -11z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11z = 0 + -12 -11z = 0 + -12 Combine like terms: 0 + -12 = -12 -11z = -12 Divide each side by '-11'. z = 1.090909091 Simplifying z = 1.090909091
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