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Simplifying 7[-6z + -3 + 5(z + 1)] = 4z + 2 Reorder the terms: 7[-6z + -3 + 5(1 + z)] = 4z + 2 7[-6z + -3 + (1 * 5 + z * 5)] = 4z + 2 7[-6z + -3 + (5 + 5z)] = 4z + 2 Reorder the terms: 7[-3 + 5 + -6z + 5z] = 4z + 2 Combine like terms: -3 + 5 = 2 7[2 + -6z + 5z] = 4z + 2 Combine like terms: -6z + 5z = -1z 7[2 + -1z] = 4z + 2 [2 * 7 + -1z * 7] = 4z + 2 [14 + -7z] = 4z + 2 Reorder the terms: 14 + -7z = 2 + 4z Solving 14 + -7z = 2 + 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 = 2 + 4z + -4z Combine like terms: -7z + -4z = -11z 14 + -11z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 14 + -11z = 2 + 0 14 + -11z = 2 Add '-14' to each side of the equation. 14 + -14 + -11z = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -11z = 2 + -14 -11z = 2 + -14 Combine like terms: 2 + -14 = -12 -11z = -12 Divide each side by '-11'. z = 1.090909091 Simplifying z = 1.090909091
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