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Simplifying -3(4z + 1) + -4(z + -3) = 0 Reorder the terms: -3(1 + 4z) + -4(z + -3) = 0 (1 * -3 + 4z * -3) + -4(z + -3) = 0 (-3 + -12z) + -4(z + -3) = 0 Reorder the terms: -3 + -12z + -4(-3 + z) = 0 -3 + -12z + (-3 * -4 + z * -4) = 0 -3 + -12z + (12 + -4z) = 0 Reorder the terms: -3 + 12 + -12z + -4z = 0 Combine like terms: -3 + 12 = 9 9 + -12z + -4z = 0 Combine like terms: -12z + -4z = -16z 9 + -16z = 0 Solving 9 + -16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -16z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16z = 0 + -9 -16z = 0 + -9 Combine like terms: 0 + -9 = -9 -16z = -9 Divide each side by '-16'. z = 0.5625 Simplifying z = 0.5625
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