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Simplifying 5z + -8(z + -3) + -20 = 0 Reorder the terms: 5z + -8(-3 + z) + -20 = 0 5z + (-3 * -8 + z * -8) + -20 = 0 5z + (24 + -8z) + -20 = 0 Reorder the terms: 24 + -20 + 5z + -8z = 0 Combine like terms: 24 + -20 = 4 4 + 5z + -8z = 0 Combine like terms: 5z + -8z = -3z 4 + -3z = 0 Solving 4 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 0 + -4 -3z = 0 + -4 Combine like terms: 0 + -4 = -4 -3z = -4 Divide each side by '-3'. z = 1.333333333 Simplifying z = 1.333333333
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