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Simplifying 9(b + -4) + -7b = 5(3b + -1z) Reorder the terms: 9(-4 + b) + -7b = 5(3b + -1z) (-4 * 9 + b * 9) + -7b = 5(3b + -1z) (-36 + 9b) + -7b = 5(3b + -1z) Combine like terms: 9b + -7b = 2b -36 + 2b = 5(3b + -1z) -36 + 2b = (3b * 5 + -1z * 5) -36 + 2b = (15b + -5z) Solving -36 + 2b = 15b + -5z Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -36 + 2b + -15b = 15b + -15b + -5z Combine like terms: 2b + -15b = -13b -36 + -13b = 15b + -15b + -5z Combine like terms: 15b + -15b = 0 -36 + -13b = 0 + -5z -36 + -13b = -5z Add '36' to each side of the equation. -36 + 36 + -13b = 36 + -5z Combine like terms: -36 + 36 = 0 0 + -13b = 36 + -5z -13b = 36 + -5z Divide each side by '-13'. b = -2.769230769 + 0.3846153846z Simplifying b = -2.769230769 + 0.3846153846z
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