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Simplifying -2[5 + -1(2z + 1)] + -4 = 2(3 + -2) Reorder the terms: -2[5 + -1(1 + 2z)] + -4 = 2(3 + -2) -2[5 + (1 * -1 + 2z * -1)] + -4 = 2(3 + -2) -2[5 + (-1 + -2z)] + -4 = 2(3 + -2) Combine like terms: 5 + -1 = 4 -2[4 + -2z] + -4 = 2(3 + -2) [4 * -2 + -2z * -2] + -4 = 2(3 + -2) [-8 + 4z] + -4 = 2(3 + -2) Reorder the terms: -8 + -4 + 4z = 2(3 + -2) Combine like terms: -8 + -4 = -12 -12 + 4z = 2(3 + -2) Combine like terms: 3 + -2 = 1 -12 + 4z = 2(1) Multiply 2 * 1 -12 + 4z = 2 Solving -12 + 4z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4z = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 4z = 2 + 12 4z = 2 + 12 Combine like terms: 2 + 12 = 14 4z = 14 Divide each side by '4'. z = 3.5 Simplifying z = 3.5
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