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Simplifying -1[10z + -1(14z + 10)] = (3z + 7) Reorder the terms: -1[10z + -1(10 + 14z)] = (3z + 7) -1[10z + (10 * -1 + 14z * -1)] = (3z + 7) -1[10z + (-10 + -14z)] = (3z + 7) Reorder the terms: -1[-10 + 10z + -14z] = (3z + 7) Combine like terms: 10z + -14z = -4z -1[-10 + -4z] = (3z + 7) [-10 * -1 + -4z * -1] = (3z + 7) [10 + 4z] = (3z + 7) Reorder the terms: 10 + 4z = (7 + 3z) Remove parenthesis around (7 + 3z) 10 + 4z = 7 + 3z Solving 10 + 4z = 7 + 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. 10 + 4z + -3z = 7 + 3z + -3z Combine like terms: 4z + -3z = 1z 10 + 1z = 7 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + 1z = 7 + 0 10 + 1z = 7 Add '-10' to each side of the equation. 10 + -10 + 1z = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 7 + -10 1z = 7 + -10 Combine like terms: 7 + -10 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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