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Simplifying 5(5b + 6) = -1(b + -4) Reorder the terms: 5(6 + 5b) = -1(b + -4) (6 * 5 + 5b * 5) = -1(b + -4) (30 + 25b) = -1(b + -4) Reorder the terms: 30 + 25b = -1(-4 + b) 30 + 25b = (-4 * -1 + b * -1) 30 + 25b = (4 + -1b) Solving 30 + 25b = 4 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 30 + 25b + b = 4 + -1b + b Combine like terms: 25b + b = 26b 30 + 26b = 4 + -1b + b Combine like terms: -1b + b = 0 30 + 26b = 4 + 0 30 + 26b = 4 Add '-30' to each side of the equation. 30 + -30 + 26b = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 26b = 4 + -30 26b = 4 + -30 Combine like terms: 4 + -30 = -26 26b = -26 Divide each side by '26'. b = -1 Simplifying b = -1
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