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Simplifying 2bz + bz + -9z + -18 = 2bz + 2z + -1z + -1 Reorder the terms: -18 + 2bz + bz + -9z = 2bz + 2z + -1z + -1 Combine like terms: 2bz + bz = 3bz -18 + 3bz + -9z = 2bz + 2z + -1z + -1 Reorder the terms: -18 + 3bz + -9z = -1 + 2bz + 2z + -1z Combine like terms: 2z + -1z = 1z -18 + 3bz + -9z = -1 + 2bz + 1z Solving -18 + 3bz + -9z = -1 + 2bz + 1z Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2bz' to each side of the equation. -18 + 3bz + -2bz + -9z = -1 + 2bz + -2bz + 1z Combine like terms: 3bz + -2bz = 1bz -18 + 1bz + -9z = -1 + 2bz + -2bz + 1z Combine like terms: 2bz + -2bz = 0 -18 + 1bz + -9z = -1 + 0 + 1z -18 + 1bz + -9z = -1 + 1z Add '18' to each side of the equation. -18 + 1bz + 18 + -9z = -1 + 18 + 1z Reorder the terms: -18 + 18 + 1bz + -9z = -1 + 18 + 1z Combine like terms: -18 + 18 = 0 0 + 1bz + -9z = -1 + 18 + 1z 1bz + -9z = -1 + 18 + 1z Combine like terms: -1 + 18 = 17 1bz + -9z = 17 + 1z Add '9z' to each side of the equation. 1bz + -9z + 9z = 17 + 1z + 9z Combine like terms: -9z + 9z = 0 1bz + 0 = 17 + 1z + 9z 1bz = 17 + 1z + 9z Combine like terms: 1z + 9z = 10z 1bz = 17 + 10z Divide each side by '1z'. b = 17z-1 + 10 Simplifying b = 17z-1 + 10 Reorder the terms: b = 10 + 17z-1
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