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Simplifying 6(2z + 3) + -1z + -21 = 0 Reorder the terms: 6(3 + 2z) + -1z + -21 = 0 (3 * 6 + 2z * 6) + -1z + -21 = 0 (18 + 12z) + -1z + -21 = 0 Reorder the terms: 18 + -21 + 12z + -1z = 0 Combine like terms: 18 + -21 = -3 -3 + 12z + -1z = 0 Combine like terms: 12z + -1z = 11z -3 + 11z = 0 Solving -3 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11z = 0 + 3 11z = 0 + 3 Combine like terms: 0 + 3 = 3 11z = 3 Divide each side by '11'. z = 0.2727272727 Simplifying z = 0.2727272727
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