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Simplifying 6(z + -8) + z + -2 = 9x + 3(6) Reorder the terms: 6(-8 + z) + z + -2 = 9x + 3(6) (-8 * 6 + z * 6) + z + -2 = 9x + 3(6) (-48 + 6z) + z + -2 = 9x + 3(6) Reorder the terms: -48 + -2 + 6z + z = 9x + 3(6) Combine like terms: -48 + -2 = -50 -50 + 6z + z = 9x + 3(6) Combine like terms: 6z + z = 7z -50 + 7z = 9x + 3(6) Multiply 3 * 6 -50 + 7z = 9x + 18 Reorder the terms: -50 + 7z = 18 + 9x Solving -50 + 7z = 18 + 9x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 7z = 18 + 50 + 9x Combine like terms: -50 + 50 = 0 0 + 7z = 18 + 50 + 9x 7z = 18 + 50 + 9x Combine like terms: 18 + 50 = 68 7z = 68 + 9x Divide each side by '7'. z = 9.714285714 + 1.285714286x Simplifying z = 9.714285714 + 1.285714286x
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