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Simplifying 56 = -1(2 + 8b) + 3(6b + 6) 56 = (2 * -1 + 8b * -1) + 3(6b + 6) 56 = (-2 + -8b) + 3(6b + 6) Reorder the terms: 56 = -2 + -8b + 3(6 + 6b) 56 = -2 + -8b + (6 * 3 + 6b * 3) 56 = -2 + -8b + (18 + 18b) Reorder the terms: 56 = -2 + 18 + -8b + 18b Combine like terms: -2 + 18 = 16 56 = 16 + -8b + 18b Combine like terms: -8b + 18b = 10b 56 = 16 + 10b Solving 56 = 16 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 56 + -10b = 16 + 10b + -10b Combine like terms: 10b + -10b = 0 56 + -10b = 16 + 0 56 + -10b = 16 Add '-56' to each side of the equation. 56 + -56 + -10b = 16 + -56 Combine like terms: 56 + -56 = 0 0 + -10b = 16 + -56 -10b = 16 + -56 Combine like terms: 16 + -56 = -40 -10b = -40 Divide each side by '-10'. b = 4 Simplifying b = 4
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