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Simplifying 2[3 + -2(2 + 4)] = 3(4 + -1z) Combine like terms: 2 + 4 = 6 2[3 + -2(6)] = 3(4 + -1z) Multiply -2 * 6 2[3 + -12] = 3(4 + -1z) Combine like terms: 3 + -12 = -9 2[-9] = 3(4 + -1z) Multiply 2 * -9 -18 = 3(4 + -1z) -18 = (4 * 3 + -1z * 3) -18 = (12 + -3z) Solving -18 = 12 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -18 + 3z = 12 + -3z + 3z Combine like terms: -3z + 3z = 0 -18 + 3z = 12 + 0 -18 + 3z = 12 Add '18' to each side of the equation. -18 + 18 + 3z = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 3z = 12 + 18 3z = 12 + 18 Combine like terms: 12 + 18 = 30 3z = 30 Divide each side by '3'. z = 10 Simplifying z = 10
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