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Simplifying -1[3z + -1(9z + 7)] = 7 + (5z + 10) Reorder the terms: -1[3z + -1(7 + 9z)] = 7 + (5z + 10) -1[3z + (7 * -1 + 9z * -1)] = 7 + (5z + 10) -1[3z + (-7 + -9z)] = 7 + (5z + 10) Reorder the terms: -1[-7 + 3z + -9z] = 7 + (5z + 10) Combine like terms: 3z + -9z = -6z -1[-7 + -6z] = 7 + (5z + 10) [-7 * -1 + -6z * -1] = 7 + (5z + 10) [7 + 6z] = 7 + (5z + 10) Reorder the terms: 7 + 6z = 7 + (10 + 5z) Remove parenthesis around (10 + 5z) 7 + 6z = 7 + 10 + 5z Combine like terms: 7 + 10 = 17 7 + 6z = 17 + 5z Solving 7 + 6z = 17 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7 + 6z + -5z = 17 + 5z + -5z Combine like terms: 6z + -5z = 1z 7 + 1z = 17 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + 1z = 17 + 0 7 + 1z = 17 Add '-7' to each side of the equation. 7 + -7 + 1z = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 17 + -7 1z = 17 + -7 Combine like terms: 17 + -7 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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