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Simplifying 3(4z + 3) + -4(z + -4) = 0 Reorder the terms: 3(3 + 4z) + -4(z + -4) = 0 (3 * 3 + 4z * 3) + -4(z + -4) = 0 (9 + 12z) + -4(z + -4) = 0 Reorder the terms: 9 + 12z + -4(-4 + z) = 0 9 + 12z + (-4 * -4 + z * -4) = 0 9 + 12z + (16 + -4z) = 0 Reorder the terms: 9 + 16 + 12z + -4z = 0 Combine like terms: 9 + 16 = 25 25 + 12z + -4z = 0 Combine like terms: 12z + -4z = 8z 25 + 8z = 0 Solving 25 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8z = 0 + -25 8z = 0 + -25 Combine like terms: 0 + -25 = -25 8z = -25 Divide each side by '8'. z = -3.125 Simplifying z = -3.125
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