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Simplifying 5(z + -4) + 8z + -3 = 0 Reorder the terms: 5(-4 + z) + 8z + -3 = 0 (-4 * 5 + z * 5) + 8z + -3 = 0 (-20 + 5z) + 8z + -3 = 0 Reorder the terms: -20 + -3 + 5z + 8z = 0 Combine like terms: -20 + -3 = -23 -23 + 5z + 8z = 0 Combine like terms: 5z + 8z = 13z -23 + 13z = 0 Solving -23 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 13z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 13z = 0 + 23 13z = 0 + 23 Combine like terms: 0 + 23 = 23 13z = 23 Divide each side by '13'. z = 1.769230769 Simplifying z = 1.769230769
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