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Simplifying (13x + -9y + -16z) + (3x + 21y + -8z) = 0 Remove parenthesis around (13x + -9y + -16z) 13x + -9y + -16z + (3x + 21y + -8z) = 0 Remove parenthesis around (3x + 21y + -8z) 13x + -9y + -16z + 3x + 21y + -8z = 0 Reorder the terms: 13x + 3x + -9y + 21y + -16z + -8z = 0 Combine like terms: 13x + 3x = 16x 16x + -9y + 21y + -16z + -8z = 0 Combine like terms: -9y + 21y = 12y 16x + 12y + -16z + -8z = 0 Combine like terms: -16z + -8z = -24z 16x + 12y + -24z = 0 Solving 16x + 12y + -24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 16x + 12y + -12y + -24z = 0 + -12y Combine like terms: 12y + -12y = 0 16x + 0 + -24z = 0 + -12y 16x + -24z = 0 + -12y Remove the zero: 16x + -24z = -12y Add '24z' to each side of the equation. 16x + -24z + 24z = -12y + 24z Combine like terms: -24z + 24z = 0 16x + 0 = -12y + 24z 16x = -12y + 24z Divide each side by '16'. x = -0.75y + 1.5z Simplifying x = -0.75y + 1.5z
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