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Simplifying -3(4z + -7) + -4(2z + 3) + -11z = 0 Reorder the terms: -3(-7 + 4z) + -4(2z + 3) + -11z = 0 (-7 * -3 + 4z * -3) + -4(2z + 3) + -11z = 0 (21 + -12z) + -4(2z + 3) + -11z = 0 Reorder the terms: 21 + -12z + -4(3 + 2z) + -11z = 0 21 + -12z + (3 * -4 + 2z * -4) + -11z = 0 21 + -12z + (-12 + -8z) + -11z = 0 Reorder the terms: 21 + -12 + -12z + -8z + -11z = 0 Combine like terms: 21 + -12 = 9 9 + -12z + -8z + -11z = 0 Combine like terms: -12z + -8z = -20z 9 + -20z + -11z = 0 Combine like terms: -20z + -11z = -31z 9 + -31z = 0 Solving 9 + -31z = 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 + -31z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -31z = 0 + -9 -31z = 0 + -9 Combine like terms: 0 + -9 = -9 -31z = -9 Divide each side by '-31'. z = 0.2903225806 Simplifying z = 0.2903225806
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