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Simplifying 6x + 7y + 8Z = 167 Reorder the terms: 8Z + 6x + 7y = 167 Solving 8Z + 6x + 7y = 167 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-6x' to each side of the equation. 8Z + 6x + -6x + 7y = 167 + -6x Combine like terms: 6x + -6x = 0 8Z + 0 + 7y = 167 + -6x 8Z + 7y = 167 + -6x Add '-7y' to each side of the equation. 8Z + 7y + -7y = 167 + -6x + -7y Combine like terms: 7y + -7y = 0 8Z + 0 = 167 + -6x + -7y 8Z = 167 + -6x + -7y Divide each side by '8'. Z = 20.875 + -0.75x + -0.875y Simplifying Z = 20.875 + -0.75x + -0.875y
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