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Simplifying 3(3z + -4) + -4(z + 5) = 0 Reorder the terms: 3(-4 + 3z) + -4(z + 5) = 0 (-4 * 3 + 3z * 3) + -4(z + 5) = 0 (-12 + 9z) + -4(z + 5) = 0 Reorder the terms: -12 + 9z + -4(5 + z) = 0 -12 + 9z + (5 * -4 + z * -4) = 0 -12 + 9z + (-20 + -4z) = 0 Reorder the terms: -12 + -20 + 9z + -4z = 0 Combine like terms: -12 + -20 = -32 -32 + 9z + -4z = 0 Combine like terms: 9z + -4z = 5z -32 + 5z = 0 Solving -32 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 5z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 5z = 0 + 32 5z = 0 + 32 Combine like terms: 0 + 32 = 32 5z = 32 Divide each side by '5'. z = 6.4 Simplifying z = 6.4
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