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Simplifying 6(6b + 1) + -3(6b + -7) = -1b + 8(b + 2) Reorder the terms: 6(1 + 6b) + -3(6b + -7) = -1b + 8(b + 2) (1 * 6 + 6b * 6) + -3(6b + -7) = -1b + 8(b + 2) (6 + 36b) + -3(6b + -7) = -1b + 8(b + 2) Reorder the terms: 6 + 36b + -3(-7 + 6b) = -1b + 8(b + 2) 6 + 36b + (-7 * -3 + 6b * -3) = -1b + 8(b + 2) 6 + 36b + (21 + -18b) = -1b + 8(b + 2) Reorder the terms: 6 + 21 + 36b + -18b = -1b + 8(b + 2) Combine like terms: 6 + 21 = 27 27 + 36b + -18b = -1b + 8(b + 2) Combine like terms: 36b + -18b = 18b 27 + 18b = -1b + 8(b + 2) Reorder the terms: 27 + 18b = -1b + 8(2 + b) 27 + 18b = -1b + (2 * 8 + b * 8) 27 + 18b = -1b + (16 + 8b) Reorder the terms: 27 + 18b = 16 + -1b + 8b Combine like terms: -1b + 8b = 7b 27 + 18b = 16 + 7b Solving 27 + 18b = 16 + 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. 27 + 18b + -7b = 16 + 7b + -7b Combine like terms: 18b + -7b = 11b 27 + 11b = 16 + 7b + -7b Combine like terms: 7b + -7b = 0 27 + 11b = 16 + 0 27 + 11b = 16 Add '-27' to each side of the equation. 27 + -27 + 11b = 16 + -27 Combine like terms: 27 + -27 = 0 0 + 11b = 16 + -27 11b = 16 + -27 Combine like terms: 16 + -27 = -11 11b = -11 Divide each side by '11'. b = -1 Simplifying b = -1
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