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Simplifying 5 = -3(-3b + -8) + 5(-4b + 5) Reorder the terms: 5 = -3(-8 + -3b) + 5(-4b + 5) 5 = (-8 * -3 + -3b * -3) + 5(-4b + 5) 5 = (24 + 9b) + 5(-4b + 5) Reorder the terms: 5 = 24 + 9b + 5(5 + -4b) 5 = 24 + 9b + (5 * 5 + -4b * 5) 5 = 24 + 9b + (25 + -20b) Reorder the terms: 5 = 24 + 25 + 9b + -20b Combine like terms: 24 + 25 = 49 5 = 49 + 9b + -20b Combine like terms: 9b + -20b = -11b 5 = 49 + -11b Solving 5 = 49 + -11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11b' to each side of the equation. 5 + 11b = 49 + -11b + 11b Combine like terms: -11b + 11b = 0 5 + 11b = 49 + 0 5 + 11b = 49 Add '-5' to each side of the equation. 5 + -5 + 11b = 49 + -5 Combine like terms: 5 + -5 = 0 0 + 11b = 49 + -5 11b = 49 + -5 Combine like terms: 49 + -5 = 44 11b = 44 Divide each side by '11'. b = 4 Simplifying b = 4
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