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Simplifying -2[5 + -1(2 + 1)] + -4 = 2(3 + -1z) Combine like terms: 2 + 1 = 3 -2[5 + -1(3)] + -4 = 2(3 + -1z) Multiply -1 * 3 -2[5 + -3] + -4 = 2(3 + -1z) Combine like terms: 5 + -3 = 2 -2[2] + -4 = 2(3 + -1z) Multiply -2 * 2 -4 + -4 = 2(3 + -1z) Combine like terms: -4 + -4 = -8 -8 = 2(3 + -1z) -8 = (3 * 2 + -1z * 2) -8 = (6 + -2z) Solving -8 = 6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -8 + 2z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 -8 + 2z = 6 + 0 -8 + 2z = 6 Add '8' to each side of the equation. -8 + 8 + 2z = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = 6 + 8 2z = 6 + 8 Combine like terms: 6 + 8 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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