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Simplifying 5(z + -3) + 8z + -4 = 0 Reorder the terms: 5(-3 + z) + 8z + -4 = 0 (-3 * 5 + z * 5) + 8z + -4 = 0 (-15 + 5z) + 8z + -4 = 0 Reorder the terms: -15 + -4 + 5z + 8z = 0 Combine like terms: -15 + -4 = -19 -19 + 5z + 8z = 0 Combine like terms: 5z + 8z = 13z -19 + 13z = 0 Solving -19 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 13z = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 13z = 0 + 19 13z = 0 + 19 Combine like terms: 0 + 19 = 19 13z = 19 Divide each side by '13'. z = 1.461538462 Simplifying z = 1.461538462
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