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Simplifying 10[z + -1(10z + 2) + 2] = 4(z + 2) Reorder the terms: 10[z + -1(2 + 10z) + 2] = 4(z + 2) 10[z + (2 * -1 + 10z * -1) + 2] = 4(z + 2) 10[z + (-2 + -10z) + 2] = 4(z + 2) Reorder the terms: 10[-2 + 2 + z + -10z] = 4(z + 2) Combine like terms: -2 + 2 = 0 10[0 + z + -10z] = 4(z + 2) 10[z + -10z] = 4(z + 2) Combine like terms: z + -10z = -9z 10[-9z] = 4(z + 2) Remove brackets around [-9z] 10 * -9z = 4(z + 2) Multiply 10 * -9 -90z = 4(z + 2) Reorder the terms: -90z = 4(2 + z) -90z = (2 * 4 + z * 4) -90z = (8 + 4z) Solving -90z = 8 + 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. -90z + -4z = 8 + 4z + -4z Combine like terms: -90z + -4z = -94z -94z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -94z = 8 + 0 -94z = 8 Divide each side by '-94'. z = -0.08510638298 Simplifying z = -0.08510638298
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