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Simplifying 7(1 + 3b) + 8b = -37 + 7b (1 * 7 + 3b * 7) + 8b = -37 + 7b (7 + 21b) + 8b = -37 + 7b Combine like terms: 21b + 8b = 29b 7 + 29b = -37 + 7b Solving 7 + 29b = -37 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 7 + 29b + -7b = -37 + 7b + -7b Combine like terms: 29b + -7b = 22b 7 + 22b = -37 + 7b + -7b Combine like terms: 7b + -7b = 0 7 + 22b = -37 + 0 7 + 22b = -37 Add '-7' to each side of the equation. 7 + -7 + 22b = -37 + -7 Combine like terms: 7 + -7 = 0 0 + 22b = -37 + -7 22b = -37 + -7 Combine like terms: -37 + -7 = -44 22b = -44 Divide each side by '22'. b = -2 Simplifying b = -2
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