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Simplifying 8 + -5(3z + 4) = 17 Reorder the terms: 8 + -5(4 + 3z) = 17 8 + (4 * -5 + 3z * -5) = 17 8 + (-20 + -15z) = 17 Combine like terms: 8 + -20 = -12 -12 + -15z = 17 Solving -12 + -15z = 17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -15z = 17 + 12 Combine like terms: -12 + 12 = 0 0 + -15z = 17 + 12 -15z = 17 + 12 Combine like terms: 17 + 12 = 29 -15z = 29 Divide each side by '-15'. z = -1.933333333 Simplifying z = -1.933333333
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