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Simplifying 5(9b + 7) = -61 + -3b Reorder the terms: 5(7 + 9b) = -61 + -3b (7 * 5 + 9b * 5) = -61 + -3b (35 + 45b) = -61 + -3b Solving 35 + 45b = -61 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 35 + 45b + 3b = -61 + -3b + 3b Combine like terms: 45b + 3b = 48b 35 + 48b = -61 + -3b + 3b Combine like terms: -3b + 3b = 0 35 + 48b = -61 + 0 35 + 48b = -61 Add '-35' to each side of the equation. 35 + -35 + 48b = -61 + -35 Combine like terms: 35 + -35 = 0 0 + 48b = -61 + -35 48b = -61 + -35 Combine like terms: -61 + -35 = -96 48b = -96 Divide each side by '48'. b = -2 Simplifying b = -2
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