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Simplifying 9(b + -4) + -7b = 15(3b + -2) Reorder the terms: 9(-4 + b) + -7b = 15(3b + -2) (-4 * 9 + b * 9) + -7b = 15(3b + -2) (-36 + 9b) + -7b = 15(3b + -2) Combine like terms: 9b + -7b = 2b -36 + 2b = 15(3b + -2) Reorder the terms: -36 + 2b = 15(-2 + 3b) -36 + 2b = (-2 * 15 + 3b * 15) -36 + 2b = (-30 + 45b) Solving -36 + 2b = -30 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. -36 + 2b + -45b = -30 + 45b + -45b Combine like terms: 2b + -45b = -43b -36 + -43b = -30 + 45b + -45b Combine like terms: 45b + -45b = 0 -36 + -43b = -30 + 0 -36 + -43b = -30 Add '36' to each side of the equation. -36 + 36 + -43b = -30 + 36 Combine like terms: -36 + 36 = 0 0 + -43b = -30 + 36 -43b = -30 + 36 Combine like terms: -30 + 36 = 6 -43b = 6 Divide each side by '-43'. b = -0.1395348837 Simplifying b = -0.1395348837
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