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Simplifying (16X + 9Y + -7Z) + (-8X + -5Y) = 0 Remove parenthesis around (16X + 9Y + -7Z) 16X + 9Y + -7Z + (-8X + -5Y) = 0 Remove parenthesis around (-8X + -5Y) 16X + 9Y + -7Z + -8X + -5Y = 0 Reorder the terms: 16X + -8X + 9Y + -5Y + -7Z = 0 Combine like terms: 16X + -8X = 8X 8X + 9Y + -5Y + -7Z = 0 Combine like terms: 9Y + -5Y = 4Y 8X + 4Y + -7Z = 0 Solving 8X + 4Y + -7Z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4Y' to each side of the equation. 8X + 4Y + -4Y + -7Z = 0 + -4Y Combine like terms: 4Y + -4Y = 0 8X + 0 + -7Z = 0 + -4Y 8X + -7Z = 0 + -4Y Remove the zero: 8X + -7Z = -4Y Add '7Z' to each side of the equation. 8X + -7Z + 7Z = -4Y + 7Z Combine like terms: -7Z + 7Z = 0 8X + 0 = -4Y + 7Z 8X = -4Y + 7Z Divide each side by '8'. X = -0.5Y + 0.875Z Simplifying X = -0.5Y + 0.875Z
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