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Simplifying -6b + 5(b + 12) = -6 + -8(b + 4) Reorder the terms: -6b + 5(12 + b) = -6 + -8(b + 4) -6b + (12 * 5 + b * 5) = -6 + -8(b + 4) -6b + (60 + 5b) = -6 + -8(b + 4) Reorder the terms: 60 + -6b + 5b = -6 + -8(b + 4) Combine like terms: -6b + 5b = -1b 60 + -1b = -6 + -8(b + 4) Reorder the terms: 60 + -1b = -6 + -8(4 + b) 60 + -1b = -6 + (4 * -8 + b * -8) 60 + -1b = -6 + (-32 + -8b) Combine like terms: -6 + -32 = -38 60 + -1b = -38 + -8b Solving 60 + -1b = -38 + -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. 60 + -1b + 8b = -38 + -8b + 8b Combine like terms: -1b + 8b = 7b 60 + 7b = -38 + -8b + 8b Combine like terms: -8b + 8b = 0 60 + 7b = -38 + 0 60 + 7b = -38 Add '-60' to each side of the equation. 60 + -60 + 7b = -38 + -60 Combine like terms: 60 + -60 = 0 0 + 7b = -38 + -60 7b = -38 + -60 Combine like terms: -38 + -60 = -98 7b = -98 Divide each side by '7'. b = -14 Simplifying b = -14
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