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Simplifying -1(6 + 6b) + -7(b + -5) = 1 + -5b + 4 (6 * -1 + 6b * -1) + -7(b + -5) = 1 + -5b + 4 (-6 + -6b) + -7(b + -5) = 1 + -5b + 4 Reorder the terms: -6 + -6b + -7(-5 + b) = 1 + -5b + 4 -6 + -6b + (-5 * -7 + b * -7) = 1 + -5b + 4 -6 + -6b + (35 + -7b) = 1 + -5b + 4 Reorder the terms: -6 + 35 + -6b + -7b = 1 + -5b + 4 Combine like terms: -6 + 35 = 29 29 + -6b + -7b = 1 + -5b + 4 Combine like terms: -6b + -7b = -13b 29 + -13b = 1 + -5b + 4 Reorder the terms: 29 + -13b = 1 + 4 + -5b Combine like terms: 1 + 4 = 5 29 + -13b = 5 + -5b Solving 29 + -13b = 5 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 29 + -13b + 5b = 5 + -5b + 5b Combine like terms: -13b + 5b = -8b 29 + -8b = 5 + -5b + 5b Combine like terms: -5b + 5b = 0 29 + -8b = 5 + 0 29 + -8b = 5 Add '-29' to each side of the equation. 29 + -29 + -8b = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -8b = 5 + -29 -8b = 5 + -29 Combine like terms: 5 + -29 = -24 -8b = -24 Divide each side by '-8'. b = 3 Simplifying b = 3
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