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Simplifying 7a + -9b + -5z + 10b + -7a = 0 Reorder the terms: 7a + -7a + -9b + 10b + -5z = 0 Combine like terms: 7a + -7a = 0 0 + -9b + 10b + -5z = 0 -9b + 10b + -5z = 0 Combine like terms: -9b + 10b = 1b 1b + -5z = 0 Solving 1b + -5z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5z' to each side of the equation. 1b + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 1b + 0 = 0 + 5z 1b = 0 + 5z Remove the zero: 1b = 5z Divide each side by '1'. b = 5z Simplifying b = 5z
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