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Simplifying -1[10z + -1(15z + 3)] = 3 + (4z + 0) Reorder the terms: -1[10z + -1(3 + 15z)] = 3 + (4z + 0) -1[10z + (3 * -1 + 15z * -1)] = 3 + (4z + 0) -1[10z + (-3 + -15z)] = 3 + (4z + 0) Reorder the terms: -1[-3 + 10z + -15z] = 3 + (4z + 0) Combine like terms: 10z + -15z = -5z -1[-3 + -5z] = 3 + (4z + 0) [-3 * -1 + -5z * -1] = 3 + (4z + 0) [3 + 5z] = 3 + (4z + 0) Reorder the terms: 3 + 5z = 3 + (0 + 4z) Remove the zero: 3 + 5z = 3 + (4z) 3 + 5z = 3 + (4z) Add '-3' to each side of the equation. 3 + -3 + 5z = 3 + -3 + (4z) Combine like terms: 3 + -3 = 0 0 + 5z = 3 + -3 + (4z) 5z = 3 + -3 + (4z) Combine like terms: 3 + -3 = 0 5z = 0 + (4z) 5z = (4z) Solving 5z = (4z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-4z)' to each side of the equation. 5z + (-4z) = (4z) + (-4z) Combine like terms: 5z + (-4z) = 1z 1z = (4z) + (-4z) Combine like terms: (4z) + (-4z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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