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Simplifying (8x + -8y + 7z) + -2(-8x + 6y + -7z) = 0 Remove parenthesis around (8x + -8y + 7z) 8x + -8y + 7z + -2(-8x + 6y + -7z) = 0 8x + -8y + 7z + (-8x * -2 + 6y * -2 + -7z * -2) = 0 8x + -8y + 7z + (16x + -12y + 14z) = 0 Reorder the terms: 8x + 16x + -8y + -12y + 7z + 14z = 0 Combine like terms: 8x + 16x = 24x 24x + -8y + -12y + 7z + 14z = 0 Combine like terms: -8y + -12y = -20y 24x + -20y + 7z + 14z = 0 Combine like terms: 7z + 14z = 21z 24x + -20y + 21z = 0 Solving 24x + -20y + 21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 24x + -20y + 20y + 21z = 0 + 20y Combine like terms: -20y + 20y = 0 24x + 0 + 21z = 0 + 20y 24x + 21z = 0 + 20y Remove the zero: 24x + 21z = 20y Add '-21z' to each side of the equation. 24x + 21z + -21z = 20y + -21z Combine like terms: 21z + -21z = 0 24x + 0 = 20y + -21z 24x = 20y + -21z Divide each side by '24'. x = 0.8333333333y + -0.875z Simplifying x = 0.8333333333y + -0.875z
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