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Simplifying 6 + -2(4z + -3) = 3(2z + 5) Reorder the terms: 6 + -2(-3 + 4z) = 3(2z + 5) 6 + (-3 * -2 + 4z * -2) = 3(2z + 5) 6 + (6 + -8z) = 3(2z + 5) Combine like terms: 6 + 6 = 12 12 + -8z = 3(2z + 5) Reorder the terms: 12 + -8z = 3(5 + 2z) 12 + -8z = (5 * 3 + 2z * 3) 12 + -8z = (15 + 6z) Solving 12 + -8z = 15 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + -8z + -6z = 15 + 6z + -6z Combine like terms: -8z + -6z = -14z 12 + -14z = 15 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + -14z = 15 + 0 12 + -14z = 15 Add '-12' to each side of the equation. 12 + -12 + -14z = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -14z = 15 + -12 -14z = 15 + -12 Combine like terms: 15 + -12 = 3 -14z = 3 Divide each side by '-14'. z = -0.2142857143 Simplifying z = -0.2142857143
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