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Simplifying 7b + 3 = 2(2b + -9) Reorder the terms: 3 + 7b = 2(2b + -9) Reorder the terms: 3 + 7b = 2(-9 + 2b) 3 + 7b = (-9 * 2 + 2b * 2) 3 + 7b = (-18 + 4b) Solving 3 + 7b = -18 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 3 + 7b + -4b = -18 + 4b + -4b Combine like terms: 7b + -4b = 3b 3 + 3b = -18 + 4b + -4b Combine like terms: 4b + -4b = 0 3 + 3b = -18 + 0 3 + 3b = -18 Add '-3' to each side of the equation. 3 + -3 + 3b = -18 + -3 Combine like terms: 3 + -3 = 0 0 + 3b = -18 + -3 3b = -18 + -3 Combine like terms: -18 + -3 = -21 3b = -21 Divide each side by '3'. b = -7 Simplifying b = -7
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