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Simplifying -10 + 6(8 + -1b) = -1(8b + -2) -10 + (8 * 6 + -1b * 6) = -1(8b + -2) -10 + (48 + -6b) = -1(8b + -2) Combine like terms: -10 + 48 = 38 38 + -6b = -1(8b + -2) Reorder the terms: 38 + -6b = -1(-2 + 8b) 38 + -6b = (-2 * -1 + 8b * -1) 38 + -6b = (2 + -8b) Solving 38 + -6b = 2 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 38 + -6b + 8b = 2 + -8b + 8b Combine like terms: -6b + 8b = 2b 38 + 2b = 2 + -8b + 8b Combine like terms: -8b + 8b = 0 38 + 2b = 2 + 0 38 + 2b = 2 Add '-38' to each side of the equation. 38 + -38 + 2b = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 2b = 2 + -38 2b = 2 + -38 Combine like terms: 2 + -38 = -36 2b = -36 Divide each side by '2'. b = -18 Simplifying b = -18
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