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Simplifying 3(z + -5) + 5z + -1 = 0 Reorder the terms: 3(-5 + z) + 5z + -1 = 0 (-5 * 3 + z * 3) + 5z + -1 = 0 (-15 + 3z) + 5z + -1 = 0 Reorder the terms: -15 + -1 + 3z + 5z = 0 Combine like terms: -15 + -1 = -16 -16 + 3z + 5z = 0 Combine like terms: 3z + 5z = 8z -16 + 8z = 0 Solving -16 + 8z = 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 + 8z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8z = 0 + 16 8z = 0 + 16 Combine like terms: 0 + 16 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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