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Simplifying 7(z + 2) = 58 + -4z Reorder the terms: 7(2 + z) = 58 + -4z (2 * 7 + z * 7) = 58 + -4z (14 + 7z) = 58 + -4z Solving 14 + 7z = 58 + -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. 14 + 7z + 4z = 58 + -4z + 4z Combine like terms: 7z + 4z = 11z 14 + 11z = 58 + -4z + 4z Combine like terms: -4z + 4z = 0 14 + 11z = 58 + 0 14 + 11z = 58 Add '-14' to each side of the equation. 14 + -14 + 11z = 58 + -14 Combine like terms: 14 + -14 = 0 0 + 11z = 58 + -14 11z = 58 + -14 Combine like terms: 58 + -14 = 44 11z = 44 Divide each side by '11'. z = 4 Simplifying z = 4
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