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Simplifying -1[6z + -1(10z + 7)] = 7 + (3z + 8) Reorder the terms: -1[6z + -1(7 + 10z)] = 7 + (3z + 8) -1[6z + (7 * -1 + 10z * -1)] = 7 + (3z + 8) -1[6z + (-7 + -10z)] = 7 + (3z + 8) Reorder the terms: -1[-7 + 6z + -10z] = 7 + (3z + 8) Combine like terms: 6z + -10z = -4z -1[-7 + -4z] = 7 + (3z + 8) [-7 * -1 + -4z * -1] = 7 + (3z + 8) [7 + 4z] = 7 + (3z + 8) Reorder the terms: 7 + 4z = 7 + (8 + 3z) Remove parenthesis around (8 + 3z) 7 + 4z = 7 + 8 + 3z Combine like terms: 7 + 8 = 15 7 + 4z = 15 + 3z Solving 7 + 4z = 15 + 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. 7 + 4z + -3z = 15 + 3z + -3z Combine like terms: 4z + -3z = 1z 7 + 1z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 1z = 15 + 0 7 + 1z = 15 Add '-7' to each side of the equation. 7 + -7 + 1z = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 15 + -7 1z = 15 + -7 Combine like terms: 15 + -7 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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