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Simplifying 5[2 + -1(2z + -4)] = 2(5 + -3z) Reorder the terms: 5[2 + -1(-4 + 2z)] = 2(5 + -3z) 5[2 + (-4 * -1 + 2z * -1)] = 2(5 + -3z) 5[2 + (4 + -2z)] = 2(5 + -3z) Combine like terms: 2 + 4 = 6 5[6 + -2z] = 2(5 + -3z) [6 * 5 + -2z * 5] = 2(5 + -3z) [30 + -10z] = 2(5 + -3z) 30 + -10z = (5 * 2 + -3z * 2) 30 + -10z = (10 + -6z) Solving 30 + -10z = 10 + -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. 30 + -10z + 6z = 10 + -6z + 6z Combine like terms: -10z + 6z = -4z 30 + -4z = 10 + -6z + 6z Combine like terms: -6z + 6z = 0 30 + -4z = 10 + 0 30 + -4z = 10 Add '-30' to each side of the equation. 30 + -30 + -4z = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4z = 10 + -30 -4z = 10 + -30 Combine like terms: 10 + -30 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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