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Simplifying 4(2z + 3) + -2(6 + -3z) = 23 Reorder the terms: 4(3 + 2z) + -2(6 + -3z) = 23 (3 * 4 + 2z * 4) + -2(6 + -3z) = 23 (12 + 8z) + -2(6 + -3z) = 23 12 + 8z + (6 * -2 + -3z * -2) = 23 12 + 8z + (-12 + 6z) = 23 Reorder the terms: 12 + -12 + 8z + 6z = 23 Combine like terms: 12 + -12 = 0 0 + 8z + 6z = 23 8z + 6z = 23 Combine like terms: 8z + 6z = 14z 14z = 23 Solving 14z = 23 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '14'. z = 1.642857143 Simplifying z = 1.642857143
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