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Simplifying 64 = 2(1 + -5b) + -3(7b + 7) 64 = (1 * 2 + -5b * 2) + -3(7b + 7) 64 = (2 + -10b) + -3(7b + 7) Reorder the terms: 64 = 2 + -10b + -3(7 + 7b) 64 = 2 + -10b + (7 * -3 + 7b * -3) 64 = 2 + -10b + (-21 + -21b) Reorder the terms: 64 = 2 + -21 + -10b + -21b Combine like terms: 2 + -21 = -19 64 = -19 + -10b + -21b Combine like terms: -10b + -21b = -31b 64 = -19 + -31b Solving 64 = -19 + -31b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31b' to each side of the equation. 64 + 31b = -19 + -31b + 31b Combine like terms: -31b + 31b = 0 64 + 31b = -19 + 0 64 + 31b = -19 Add '-64' to each side of the equation. 64 + -64 + 31b = -19 + -64 Combine like terms: 64 + -64 = 0 0 + 31b = -19 + -64 31b = -19 + -64 Combine like terms: -19 + -64 = -83 31b = -83 Divide each side by '31'. b = -2.677419355 Simplifying b = -2.677419355
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