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Simplifying -4(b + -6) + -3(1 + -4b) = b + 2 + 1 + 96 Reorder the terms: -4(-6 + b) + -3(1 + -4b) = b + 2 + 1 + 96 (-6 * -4 + b * -4) + -3(1 + -4b) = b + 2 + 1 + 96 (24 + -4b) + -3(1 + -4b) = b + 2 + 1 + 96 24 + -4b + (1 * -3 + -4b * -3) = b + 2 + 1 + 96 24 + -4b + (-3 + 12b) = b + 2 + 1 + 96 Reorder the terms: 24 + -3 + -4b + 12b = b + 2 + 1 + 96 Combine like terms: 24 + -3 = 21 21 + -4b + 12b = b + 2 + 1 + 96 Combine like terms: -4b + 12b = 8b 21 + 8b = b + 2 + 1 + 96 Reorder the terms: 21 + 8b = 2 + 1 + 96 + b Combine like terms: 2 + 1 = 3 21 + 8b = 3 + 96 + b Combine like terms: 3 + 96 = 99 21 + 8b = 99 + b Solving 21 + 8b = 99 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 21 + 8b + -1b = 99 + b + -1b Combine like terms: 8b + -1b = 7b 21 + 7b = 99 + b + -1b Combine like terms: b + -1b = 0 21 + 7b = 99 + 0 21 + 7b = 99 Add '-21' to each side of the equation. 21 + -21 + 7b = 99 + -21 Combine like terms: 21 + -21 = 0 0 + 7b = 99 + -21 7b = 99 + -21 Combine like terms: 99 + -21 = 78 7b = 78 Divide each side by '7'. b = 11.14285714 Simplifying b = 11.14285714
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