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Simplifying -1[z + -1(4z + 2)] = 2 + (2z + 7) Reorder the terms: -1[z + -1(2 + 4z)] = 2 + (2z + 7) -1[z + (2 * -1 + 4z * -1)] = 2 + (2z + 7) -1[z + (-2 + -4z)] = 2 + (2z + 7) Reorder the terms: -1[-2 + z + -4z] = 2 + (2z + 7) Combine like terms: z + -4z = -3z -1[-2 + -3z] = 2 + (2z + 7) [-2 * -1 + -3z * -1] = 2 + (2z + 7) [2 + 3z] = 2 + (2z + 7) Reorder the terms: 2 + 3z = 2 + (7 + 2z) Remove parenthesis around (7 + 2z) 2 + 3z = 2 + 7 + 2z Combine like terms: 2 + 7 = 9 2 + 3z = 9 + 2z Solving 2 + 3z = 9 + 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. 2 + 3z + -2z = 9 + 2z + -2z Combine like terms: 3z + -2z = 1z 2 + 1z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 1z = 9 + 0 2 + 1z = 9 Add '-2' to each side of the equation. 2 + -2 + 1z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 9 + -2 1z = 9 + -2 Combine like terms: 9 + -2 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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