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Simplifying 5(z + -3) + 4z + -1 = 0 Reorder the terms: 5(-3 + z) + 4z + -1 = 0 (-3 * 5 + z * 5) + 4z + -1 = 0 (-15 + 5z) + 4z + -1 = 0 Reorder the terms: -15 + -1 + 5z + 4z = 0 Combine like terms: -15 + -1 = -16 -16 + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z -16 + 9z = 0 Solving -16 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9z = 0 + 16 9z = 0 + 16 Combine like terms: 0 + 16 = 16 9z = 16 Divide each side by '9'. z = 1.777777778 Simplifying z = 1.777777778
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