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Simplifying -1[9z + -1(12z + 10)] = 10 + (2z + 3) Reorder the terms: -1[9z + -1(10 + 12z)] = 10 + (2z + 3) -1[9z + (10 * -1 + 12z * -1)] = 10 + (2z + 3) -1[9z + (-10 + -12z)] = 10 + (2z + 3) Reorder the terms: -1[-10 + 9z + -12z] = 10 + (2z + 3) Combine like terms: 9z + -12z = -3z -1[-10 + -3z] = 10 + (2z + 3) [-10 * -1 + -3z * -1] = 10 + (2z + 3) [10 + 3z] = 10 + (2z + 3) Reorder the terms: 10 + 3z = 10 + (3 + 2z) Remove parenthesis around (3 + 2z) 10 + 3z = 10 + 3 + 2z Combine like terms: 10 + 3 = 13 10 + 3z = 13 + 2z Solving 10 + 3z = 13 + 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. 10 + 3z + -2z = 13 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = 13 + 0 10 + 1z = 13 Add '-10' to each side of the equation. 10 + -10 + 1z = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 13 + -10 1z = 13 + -10 Combine like terms: 13 + -10 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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