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Simplifying 7(z + -4) + 6z + -2 = 0 Reorder the terms: 7(-4 + z) + 6z + -2 = 0 (-4 * 7 + z * 7) + 6z + -2 = 0 (-28 + 7z) + 6z + -2 = 0 Reorder the terms: -28 + -2 + 7z + 6z = 0 Combine like terms: -28 + -2 = -30 -30 + 7z + 6z = 0 Combine like terms: 7z + 6z = 13z -30 + 13z = 0 Solving -30 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 13z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 13z = 0 + 30 13z = 0 + 30 Combine like terms: 0 + 30 = 30 13z = 30 Divide each side by '13'. z = 2.307692308 Simplifying z = 2.307692308
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