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Simplifying 3(3z + -4) + -1(20z + -5) = 0 Reorder the terms: 3(-4 + 3z) + -1(20z + -5) = 0 (-4 * 3 + 3z * 3) + -1(20z + -5) = 0 (-12 + 9z) + -1(20z + -5) = 0 Reorder the terms: -12 + 9z + -1(-5 + 20z) = 0 -12 + 9z + (-5 * -1 + 20z * -1) = 0 -12 + 9z + (5 + -20z) = 0 Reorder the terms: -12 + 5 + 9z + -20z = 0 Combine like terms: -12 + 5 = -7 -7 + 9z + -20z = 0 Combine like terms: 9z + -20z = -11z -7 + -11z = 0 Solving -7 + -11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -11z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11z = 0 + 7 -11z = 0 + 7 Combine like terms: 0 + 7 = 7 -11z = 7 Divide each side by '-11'. z = -0.6363636364 Simplifying z = -0.6363636364
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