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Simplifying -6z + 2 = 3z + 4z + 28 Reorder the terms: 2 + -6z = 3z + 4z + 28 Reorder the terms: 2 + -6z = 28 + 3z + 4z Combine like terms: 3z + 4z = 7z 2 + -6z = 28 + 7z Solving 2 + -6z = 28 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 2 + -6z + -7z = 28 + 7z + -7z Combine like terms: -6z + -7z = -13z 2 + -13z = 28 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -13z = 28 + 0 2 + -13z = 28 Add '-2' to each side of the equation. 2 + -2 + -13z = 28 + -2 Combine like terms: 2 + -2 = 0 0 + -13z = 28 + -2 -13z = 28 + -2 Combine like terms: 28 + -2 = 26 -13z = 26 Divide each side by '-13'. z = -2 Simplifying z = -2
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