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Simplifying 3(3b + 1) = 2(7b + -21) Reorder the terms: 3(1 + 3b) = 2(7b + -21) (1 * 3 + 3b * 3) = 2(7b + -21) (3 + 9b) = 2(7b + -21) Reorder the terms: 3 + 9b = 2(-21 + 7b) 3 + 9b = (-21 * 2 + 7b * 2) 3 + 9b = (-42 + 14b) Solving 3 + 9b = -42 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 3 + 9b + -14b = -42 + 14b + -14b Combine like terms: 9b + -14b = -5b 3 + -5b = -42 + 14b + -14b Combine like terms: 14b + -14b = 0 3 + -5b = -42 + 0 3 + -5b = -42 Add '-3' to each side of the equation. 3 + -3 + -5b = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = -42 + -3 -5b = -42 + -3 Combine like terms: -42 + -3 = -45 -5b = -45 Divide each side by '-5'. b = 9 Simplifying b = 9
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