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Simplifying 3(4z + -5) + -4(z + -4) = 0 Reorder the terms: 3(-5 + 4z) + -4(z + -4) = 0 (-5 * 3 + 4z * 3) + -4(z + -4) = 0 (-15 + 12z) + -4(z + -4) = 0 Reorder the terms: -15 + 12z + -4(-4 + z) = 0 -15 + 12z + (-4 * -4 + z * -4) = 0 -15 + 12z + (16 + -4z) = 0 Reorder the terms: -15 + 16 + 12z + -4z = 0 Combine like terms: -15 + 16 = 1 1 + 12z + -4z = 0 Combine like terms: 12z + -4z = 8z 1 + 8z = 0 Solving 1 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8z = 0 + -1 8z = 0 + -1 Combine like terms: 0 + -1 = -1 8z = -1 Divide each side by '8'. z = -0.125 Simplifying z = -0.125
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