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Simplifying -1 + -6(-1b + -4) = 8b + 7 Reorder the terms: -1 + -6(-4 + -1b) = 8b + 7 -1 + (-4 * -6 + -1b * -6) = 8b + 7 -1 + (24 + 6b) = 8b + 7 Combine like terms: -1 + 24 = 23 23 + 6b = 8b + 7 Reorder the terms: 23 + 6b = 7 + 8b Solving 23 + 6b = 7 + 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. 23 + 6b + -8b = 7 + 8b + -8b Combine like terms: 6b + -8b = -2b 23 + -2b = 7 + 8b + -8b Combine like terms: 8b + -8b = 0 23 + -2b = 7 + 0 23 + -2b = 7 Add '-23' to each side of the equation. 23 + -23 + -2b = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -2b = 7 + -23 -2b = 7 + -23 Combine like terms: 7 + -23 = -16 -2b = -16 Divide each side by '-2'. b = 8 Simplifying b = 8
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