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Simplifying 3 + -3(-8z + -6) = -1(6z + -4) + 2 Reorder the terms: 3 + -3(-6 + -8z) = -1(6z + -4) + 2 3 + (-6 * -3 + -8z * -3) = -1(6z + -4) + 2 3 + (18 + 24z) = -1(6z + -4) + 2 Combine like terms: 3 + 18 = 21 21 + 24z = -1(6z + -4) + 2 Reorder the terms: 21 + 24z = -1(-4 + 6z) + 2 21 + 24z = (-4 * -1 + 6z * -1) + 2 21 + 24z = (4 + -6z) + 2 Reorder the terms: 21 + 24z = 4 + 2 + -6z Combine like terms: 4 + 2 = 6 21 + 24z = 6 + -6z Solving 21 + 24z = 6 + -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. 21 + 24z + 6z = 6 + -6z + 6z Combine like terms: 24z + 6z = 30z 21 + 30z = 6 + -6z + 6z Combine like terms: -6z + 6z = 0 21 + 30z = 6 + 0 21 + 30z = 6 Add '-21' to each side of the equation. 21 + -21 + 30z = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 30z = 6 + -21 30z = 6 + -21 Combine like terms: 6 + -21 = -15 30z = -15 Divide each side by '30'. z = -0.5 Simplifying z = -0.5
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