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Simplifying 4(-2) * z + 8(2) + 3(2) + 6 = 0 Multiply 4 * -2 -8z + 8(2) + 3(2) + 6 = 0 Multiply 8 * 2 -8z + 16 + 3(2) + 6 = 0 Multiply 3 * 2 -8z + 16 + 6 + 6 = 0 Reorder the terms: 16 + 6 + 6 + -8z = 0 Combine like terms: 16 + 6 = 22 22 + 6 + -8z = 0 Combine like terms: 22 + 6 = 28 28 + -8z = 0 Solving 28 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -8z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -8z = 0 + -28 -8z = 0 + -28 Combine like terms: 0 + -28 = -28 -8z = -28 Divide each side by '-8'. z = 3.5 Simplifying z = 3.5
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