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Simplifying 9(b + -4) + -7 = 5(3b + -2) Reorder the terms: 9(-4 + b) + -7 = 5(3b + -2) (-4 * 9 + b * 9) + -7 = 5(3b + -2) (-36 + 9b) + -7 = 5(3b + -2) Reorder the terms: -36 + -7 + 9b = 5(3b + -2) Combine like terms: -36 + -7 = -43 -43 + 9b = 5(3b + -2) Reorder the terms: -43 + 9b = 5(-2 + 3b) -43 + 9b = (-2 * 5 + 3b * 5) -43 + 9b = (-10 + 15b) Solving -43 + 9b = -10 + 15b 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. -43 + 9b + -15b = -10 + 15b + -15b Combine like terms: 9b + -15b = -6b -43 + -6b = -10 + 15b + -15b Combine like terms: 15b + -15b = 0 -43 + -6b = -10 + 0 -43 + -6b = -10 Add '43' to each side of the equation. -43 + 43 + -6b = -10 + 43 Combine like terms: -43 + 43 = 0 0 + -6b = -10 + 43 -6b = -10 + 43 Combine like terms: -10 + 43 = 33 -6b = 33 Divide each side by '-6'. b = -5.5 Simplifying b = -5.5

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