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Simplifying 3(z + -3) + 5z + -1 = 0 Reorder the terms: 3(-3 + z) + 5z + -1 = 0 (-3 * 3 + z * 3) + 5z + -1 = 0 (-9 + 3z) + 5z + -1 = 0 Reorder the terms: -9 + -1 + 3z + 5z = 0 Combine like terms: -9 + -1 = -10 -10 + 3z + 5z = 0 Combine like terms: 3z + 5z = 8z -10 + 8z = 0 Solving -10 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 8z = 0 + 10 8z = 0 + 10 Combine like terms: 0 + 10 = 10 8z = 10 Divide each side by '8'. z = 1.25 Simplifying z = 1.25
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