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Simplifying 9(b + 7) = -5(6b + 7) Reorder the terms: 9(7 + b) = -5(6b + 7) (7 * 9 + b * 9) = -5(6b + 7) (63 + 9b) = -5(6b + 7) Reorder the terms: 63 + 9b = -5(7 + 6b) 63 + 9b = (7 * -5 + 6b * -5) 63 + 9b = (-35 + -30b) Solving 63 + 9b = -35 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. 63 + 9b + 30b = -35 + -30b + 30b Combine like terms: 9b + 30b = 39b 63 + 39b = -35 + -30b + 30b Combine like terms: -30b + 30b = 0 63 + 39b = -35 + 0 63 + 39b = -35 Add '-63' to each side of the equation. 63 + -63 + 39b = -35 + -63 Combine like terms: 63 + -63 = 0 0 + 39b = -35 + -63 39b = -35 + -63 Combine like terms: -35 + -63 = -98 39b = -98 Divide each side by '39'. b = -2.512820513 Simplifying b = -2.512820513
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