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Simplifying 7b + 3 = 5(b + -2) + 1 Reorder the terms: 3 + 7b = 5(b + -2) + 1 Reorder the terms: 3 + 7b = 5(-2 + b) + 1 3 + 7b = (-2 * 5 + b * 5) + 1 3 + 7b = (-10 + 5b) + 1 Reorder the terms: 3 + 7b = -10 + 1 + 5b Combine like terms: -10 + 1 = -9 3 + 7b = -9 + 5b Solving 3 + 7b = -9 + 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. 3 + 7b + -5b = -9 + 5b + -5b Combine like terms: 7b + -5b = 2b 3 + 2b = -9 + 5b + -5b Combine like terms: 5b + -5b = 0 3 + 2b = -9 + 0 3 + 2b = -9 Add '-3' to each side of the equation. 3 + -3 + 2b = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = -9 + -3 2b = -9 + -3 Combine like terms: -9 + -3 = -12 2b = -12 Divide each side by '2'. b = -6 Simplifying b = -6
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