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