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Simplifying 6 + 10(7b + -5) = 21 + 5b Reorder the terms: 6 + 10(-5 + 7b) = 21 + 5b 6 + (-5 * 10 + 7b * 10) = 21 + 5b 6 + (-50 + 70b) = 21 + 5b Combine like terms: 6 + -50 = -44 -44 + 70b = 21 + 5b Solving -44 + 70b = 21 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -44 + 70b + -5b = 21 + 5b + -5b Combine like terms: 70b + -5b = 65b -44 + 65b = 21 + 5b + -5b Combine like terms: 5b + -5b = 0 -44 + 65b = 21 + 0 -44 + 65b = 21 Add '44' to each side of the equation. -44 + 44 + 65b = 21 + 44 Combine like terms: -44 + 44 = 0 0 + 65b = 21 + 44 65b = 21 + 44 Combine like terms: 21 + 44 = 65 65b = 65 Divide each side by '65'. b = 1 Simplifying b = 1
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