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Simplifying (y + -1z + -1b) + -1(b + y + z) = 0 Reorder the terms: (-1b + y + -1z) + -1(b + y + z) = 0 Remove parenthesis around (-1b + y + -1z) -1b + y + -1z + -1(b + y + z) = 0 -1b + y + -1z + (b * -1 + y * -1 + z * -1) = 0 -1b + y + -1z + (-1b + -1y + -1z) = 0 Reorder the terms: -1b + -1b + y + -1y + -1z + -1z = 0 Combine like terms: -1b + -1b = -2b -2b + y + -1y + -1z + -1z = 0 Combine like terms: y + -1y = 0 -2b + 0 + -1z + -1z = 0 -2b + -1z + -1z = 0 Combine like terms: -1z + -1z = -2z -2b + -2z = 0 Solving -2b + -2z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2z' to each side of the equation. -2b + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 -2b + 0 = 0 + 2z -2b = 0 + 2z Remove the zero: -2b = 2z Divide each side by '-2'. b = -1z Simplifying b = -1z
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