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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 = 10 10 + 6 + -8z = 0 Combine like terms: 10 + 6 = 16 16 + -8z = 0 Solving 16 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -8z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8z = 0 + -16 -8z = 0 + -16 Combine like terms: 0 + -16 = -16 -8z = -16 Divide each side by '-8'. z = 2 Simplifying z = 2
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