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Simplifying Z + -1(11 + 3z) * 3 = 22 + -8z Reorder the terms for easier multiplication: Z + -1 * 3(11 + 3z) = 22 + -8z Multiply -1 * 3 Z + -3(11 + 3z) = 22 + -8z Z + (11 * -3 + 3z * -3) = 22 + -8z Z + (-33 + -9z) = 22 + -8z Reorder the terms: -33 + Z + -9z = 22 + -8z Solving -33 + Z + -9z = 22 + -8z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '33' to each side of the equation. -33 + Z + 33 + -9z = 22 + 33 + -8z Reorder the terms: -33 + 33 + Z + -9z = 22 + 33 + -8z Combine like terms: -33 + 33 = 0 0 + Z + -9z = 22 + 33 + -8z Z + -9z = 22 + 33 + -8z Combine like terms: 22 + 33 = 55 Z + -9z = 55 + -8z Add '9z' to each side of the equation. Z + -9z + 9z = 55 + -8z + 9z Combine like terms: -9z + 9z = 0 Z + 0 = 55 + -8z + 9z Z = 55 + -8z + 9z Combine like terms: -8z + 9z = 1z Z = 55 + 1z Simplifying Z = 55 + 1z
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