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Simplifying [5(z + -4) + 16] + -1[2(5z + -2) + 2] = 0 Reorder the terms: [5(-4 + z) + 16] + -1[2(5z + -2) + 2] = 0 [(-4 * 5 + z * 5) + 16] + -1[2(5z + -2) + 2] = 0 [(-20 + 5z) + 16] + -1[2(5z + -2) + 2] = 0 Reorder the terms: [-20 + 16 + 5z] + -1[2(5z + -2) + 2] = 0 Combine like terms: -20 + 16 = -4 [-4 + 5z] + -1[2(5z + -2) + 2] = 0 Remove brackets around [-4 + 5z] -4 + 5z + -1[2(5z + -2) + 2] = 0 Reorder the terms: -4 + 5z + -1[2(-2 + 5z) + 2] = 0 -4 + 5z + -1[(-2 * 2 + 5z * 2) + 2] = 0 -4 + 5z + -1[(-4 + 10z) + 2] = 0 Reorder the terms: -4 + 5z + -1[-4 + 2 + 10z] = 0 Combine like terms: -4 + 2 = -2 -4 + 5z + -1[-2 + 10z] = 0 -4 + 5z + [-2 * -1 + 10z * -1] = 0 -4 + 5z + [2 + -10z] = 0 Reorder the terms: -4 + 2 + 5z + -10z = 0 Combine like terms: -4 + 2 = -2 -2 + 5z + -10z = 0 Combine like terms: 5z + -10z = -5z -2 + -5z = 0 Solving -2 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5z = 0 + 2 -5z = 0 + 2 Combine like terms: 0 + 2 = 2 -5z = 2 Divide each side by '-5'. z = -0.4 Simplifying z = -0.4
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