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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 = -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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