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Simplifying 9(b + -4) + -1(7b) = 5(3b + -2) Reorder the terms: 9(-4 + b) + -1(7b) = 5(3b + -2) (-4 * 9 + b * 9) + -1(7b) = 5(3b + -2) (-36 + 9b) + -1(7b) = 5(3b + -2) Remove parenthesis around (7b) -36 + 9b + -1 * 7b = 5(3b + -2) Multiply -1 * 7 -36 + 9b + -7b = 5(3b + -2) Combine like terms: 9b + -7b = 2b -36 + 2b = 5(3b + -2) Reorder the terms: -36 + 2b = 5(-2 + 3b) -36 + 2b = (-2 * 5 + 3b * 5) -36 + 2b = (-10 + 15b) Solving -36 + 2b = -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. -36 + 2b + -15b = -10 + 15b + -15b Combine like terms: 2b + -15b = -13b -36 + -13b = -10 + 15b + -15b Combine like terms: 15b + -15b = 0 -36 + -13b = -10 + 0 -36 + -13b = -10 Add '36' to each side of the equation. -36 + 36 + -13b = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -13b = -10 + 36 -13b = -10 + 36 Combine like terms: -10 + 36 = 26 -13b = 26 Divide each side by '-13'. b = -2 Simplifying b = -2
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