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Simplifying -5(3 + -1z) + 1(z + -9) = 0 (3 * -5 + -1z * -5) + 1(z + -9) = 0 (-15 + 5z) + 1(z + -9) = 0 Reorder the terms: -15 + 5z + 1(-9 + z) = 0 -15 + 5z + (-9 * 1 + z * 1) = 0 -15 + 5z + (-9 + 1z) = 0 Reorder the terms: -15 + -9 + 5z + 1z = 0 Combine like terms: -15 + -9 = -24 -24 + 5z + 1z = 0 Combine like terms: 5z + 1z = 6z -24 + 6z = 0 Solving -24 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6z = 0 + 24 6z = 0 + 24 Combine like terms: 0 + 24 = 24 6z = 24 Divide each side by '6'. z = 4 Simplifying z = 4
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