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Simplifying 8 + 3(6z + 10) + 8(-10z + -3) + -9z = -4z Reorder the terms: 8 + 3(10 + 6z) + 8(-10z + -3) + -9z = -4z 8 + (10 * 3 + 6z * 3) + 8(-10z + -3) + -9z = -4z 8 + (30 + 18z) + 8(-10z + -3) + -9z = -4z Reorder the terms: 8 + 30 + 18z + 8(-3 + -10z) + -9z = -4z 8 + 30 + 18z + (-3 * 8 + -10z * 8) + -9z = -4z 8 + 30 + 18z + (-24 + -80z) + -9z = -4z Reorder the terms: 8 + 30 + -24 + 18z + -80z + -9z = -4z Combine like terms: 8 + 30 = 38 38 + -24 + 18z + -80z + -9z = -4z Combine like terms: 38 + -24 = 14 14 + 18z + -80z + -9z = -4z Combine like terms: 18z + -80z = -62z 14 + -62z + -9z = -4z Combine like terms: -62z + -9z = -71z 14 + -71z = -4z Solving 14 + -71z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 14 + -71z + 4z = -4z + 4z Combine like terms: -71z + 4z = -67z 14 + -67z = -4z + 4z Combine like terms: -4z + 4z = 0 14 + -67z = 0 Add '-14' to each side of the equation. 14 + -14 + -67z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -67z = 0 + -14 -67z = 0 + -14 Combine like terms: 0 + -14 = -14 -67z = -14 Divide each side by '-67'. z = 0.2089552239 Simplifying z = 0.2089552239
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