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Simplifying -4(z + 8) + -3z + 2 = 0 Reorder the terms: -4(8 + z) + -3z + 2 = 0 (8 * -4 + z * -4) + -3z + 2 = 0 (-32 + -4z) + -3z + 2 = 0 Reorder the terms: -32 + 2 + -4z + -3z = 0 Combine like terms: -32 + 2 = -30 -30 + -4z + -3z = 0 Combine like terms: -4z + -3z = -7z -30 + -7z = 0 Solving -30 + -7z = 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 + -7z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -7z = 0 + 30 -7z = 0 + 30 Combine like terms: 0 + 30 = 30 -7z = 30 Divide each side by '-7'. z = -4.285714286 Simplifying z = -4.285714286
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