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Simplifying 1 + -4(2b + -7) + -5b = b + -6(1 + b) Reorder the terms: 1 + -4(-7 + 2b) + -5b = b + -6(1 + b) 1 + (-7 * -4 + 2b * -4) + -5b = b + -6(1 + b) 1 + (28 + -8b) + -5b = b + -6(1 + b) Combine like terms: 1 + 28 = 29 29 + -8b + -5b = b + -6(1 + b) Combine like terms: -8b + -5b = -13b 29 + -13b = b + -6(1 + b) 29 + -13b = b + (1 * -6 + b * -6) 29 + -13b = b + (-6 + -6b) Reorder the terms: 29 + -13b = -6 + b + -6b Combine like terms: b + -6b = -5b 29 + -13b = -6 + -5b Solving 29 + -13b = -6 + -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 = -6 + -5b + 5b Combine like terms: -13b + 5b = -8b 29 + -8b = -6 + -5b + 5b Combine like terms: -5b + 5b = 0 29 + -8b = -6 + 0 29 + -8b = -6 Add '-29' to each side of the equation. 29 + -29 + -8b = -6 + -29 Combine like terms: 29 + -29 = 0 0 + -8b = -6 + -29 -8b = -6 + -29 Combine like terms: -6 + -29 = -35 -8b = -35 Divide each side by '-8'. b = 4.375 Simplifying b = 4.375
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