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Simplifying -7(z + 2) = 6z + -7 Reorder the terms: -7(2 + z) = 6z + -7 (2 * -7 + z * -7) = 6z + -7 (-14 + -7z) = 6z + -7 Reorder the terms: -14 + -7z = -7 + 6z Solving -14 + -7z = -7 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -14 + -7z + -6z = -7 + 6z + -6z Combine like terms: -7z + -6z = -13z -14 + -13z = -7 + 6z + -6z Combine like terms: 6z + -6z = 0 -14 + -13z = -7 + 0 -14 + -13z = -7 Add '14' to each side of the equation. -14 + 14 + -13z = -7 + 14 Combine like terms: -14 + 14 = 0 0 + -13z = -7 + 14 -13z = -7 + 14 Combine like terms: -7 + 14 = 7 -13z = 7 Divide each side by '-13'. z = -0.5384615385 Simplifying z = -0.5384615385
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