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Simplifying 3(5z + -6) + -4(z + 3) = 0 Reorder the terms: 3(-6 + 5z) + -4(z + 3) = 0 (-6 * 3 + 5z * 3) + -4(z + 3) = 0 (-18 + 15z) + -4(z + 3) = 0 Reorder the terms: -18 + 15z + -4(3 + z) = 0 -18 + 15z + (3 * -4 + z * -4) = 0 -18 + 15z + (-12 + -4z) = 0 Reorder the terms: -18 + -12 + 15z + -4z = 0 Combine like terms: -18 + -12 = -30 -30 + 15z + -4z = 0 Combine like terms: 15z + -4z = 11z -30 + 11z = 0 Solving -30 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 11z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 11z = 0 + 30 11z = 0 + 30 Combine like terms: 0 + 30 = 30 11z = 30 Divide each side by '11'. z = 2.727272727 Simplifying z = 2.727272727
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