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Simplifying 2(z + 2z) + 3(b + 2b) = 0 Combine like terms: z + 2z = 3z 2(3z) + 3(b + 2b) = 0 Remove parenthesis around (3z) 2 * 3z + 3(b + 2b) = 0 Multiply 2 * 3 6z + 3(b + 2b) = 0 Combine like terms: b + 2b = 3b 6z + 3(3b) = 0 Remove parenthesis around (3b) 6z + 3 * 3b = 0 Multiply 3 * 3 6z + 9b = 0 Reorder the terms: 9b + 6z = 0 Solving 9b + 6z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6z' to each side of the equation. 9b + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 9b + 0 = 0 + -6z 9b = 0 + -6z Remove the zero: 9b = -6z Divide each side by '9'. b = -0.6666666667z Simplifying b = -0.6666666667z
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