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Simplifying 8(2 + -5z) = 16 + 35z (2 * 8 + -5z * 8) = 16 + 35z (16 + -40z) = 16 + 35z Add '-16' to each side of the equation. 16 + -16 + -40z = 16 + -16 + 35z Combine like terms: 16 + -16 = 0 0 + -40z = 16 + -16 + 35z -40z = 16 + -16 + 35z Combine like terms: 16 + -16 = 0 -40z = 0 + 35z -40z = 35z Solving -40z = 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. -40z + -35z = 35z + -35z Combine like terms: -40z + -35z = -75z -75z = 35z + -35z Combine like terms: 35z + -35z = 0 -75z = 0 Divide each side by '-75'. z = 0 Simplifying z = 0
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