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Simplifying 5 + -1(b + -5) + -4b + 3 = b + -5 Reorder the terms: 5 + -1(-5 + b) + -4b + 3 = b + -5 5 + (-5 * -1 + b * -1) + -4b + 3 = b + -5 5 + (5 + -1b) + -4b + 3 = b + -5 Reorder the terms: 5 + 5 + 3 + -1b + -4b = b + -5 Combine like terms: 5 + 5 = 10 10 + 3 + -1b + -4b = b + -5 Combine like terms: 10 + 3 = 13 13 + -1b + -4b = b + -5 Combine like terms: -1b + -4b = -5b 13 + -5b = b + -5 Reorder the terms: 13 + -5b = -5 + b Solving 13 + -5b = -5 + 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. 13 + -5b + -1b = -5 + b + -1b Combine like terms: -5b + -1b = -6b 13 + -6b = -5 + b + -1b Combine like terms: b + -1b = 0 13 + -6b = -5 + 0 13 + -6b = -5 Add '-13' to each side of the equation. 13 + -13 + -6b = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -6b = -5 + -13 -6b = -5 + -13 Combine like terms: -5 + -13 = -18 -6b = -18 Divide each side by '-6'. b = 3 Simplifying b = 3
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