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Simplifying 5 + -5(5b + 10) = -6 + -2(7 + 10b) Reorder the terms: 5 + -5(10 + 5b) = -6 + -2(7 + 10b) 5 + (10 * -5 + 5b * -5) = -6 + -2(7 + 10b) 5 + (-50 + -25b) = -6 + -2(7 + 10b) Combine like terms: 5 + -50 = -45 -45 + -25b = -6 + -2(7 + 10b) -45 + -25b = -6 + (7 * -2 + 10b * -2) -45 + -25b = -6 + (-14 + -20b) Combine like terms: -6 + -14 = -20 -45 + -25b = -20 + -20b Solving -45 + -25b = -20 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. -45 + -25b + 20b = -20 + -20b + 20b Combine like terms: -25b + 20b = -5b -45 + -5b = -20 + -20b + 20b Combine like terms: -20b + 20b = 0 -45 + -5b = -20 + 0 -45 + -5b = -20 Add '45' to each side of the equation. -45 + 45 + -5b = -20 + 45 Combine like terms: -45 + 45 = 0 0 + -5b = -20 + 45 -5b = -20 + 45 Combine like terms: -20 + 45 = 25 -5b = 25 Divide each side by '-5'. b = -5 Simplifying b = -5
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