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Simplifying 9x + -1(-7b + -5z) = z + (8b + -9x) 9x + (-7b * -1 + -5z * -1) = z + (8b + -9x) 9x + (7b + 5z) = z + (8b + -9x) Reorder the terms: 7b + 9x + 5z = z + (8b + -9x) Remove parenthesis around (8b + -9x) 7b + 9x + 5z = z + 8b + -9x Reorder the terms: 7b + 9x + 5z = 8b + -9x + z Solving 7b + 9x + 5z = 8b + -9x + z Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 7b + 9x + -8b + 5z = 8b + -9x + -8b + z Reorder the terms: 7b + -8b + 9x + 5z = 8b + -9x + -8b + z Combine like terms: 7b + -8b = -1b -1b + 9x + 5z = 8b + -9x + -8b + z Reorder the terms: -1b + 9x + 5z = 8b + -8b + -9x + z Combine like terms: 8b + -8b = 0 -1b + 9x + 5z = 0 + -9x + z -1b + 9x + 5z = -9x + z Add '-9x' to each side of the equation. -1b + 9x + -9x + 5z = -9x + -9x + z Combine like terms: 9x + -9x = 0 -1b + 0 + 5z = -9x + -9x + z -1b + 5z = -9x + -9x + z Combine like terms: -9x + -9x = -18x -1b + 5z = -18x + z Add '-5z' to each side of the equation. -1b + 5z + -5z = -18x + z + -5z Combine like terms: 5z + -5z = 0 -1b + 0 = -18x + z + -5z -1b = -18x + z + -5z Combine like terms: z + -5z = -4z -1b = -18x + -4z Divide each side by '-1'. b = 18x + 4z Simplifying b = 18x + 4z
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