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Simplifying 19 + -4b = 5(b + 8) Reorder the terms: 19 + -4b = 5(8 + b) 19 + -4b = (8 * 5 + b * 5) 19 + -4b = (40 + 5b) Solving 19 + -4b = 40 + 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. 19 + -4b + -5b = 40 + 5b + -5b Combine like terms: -4b + -5b = -9b 19 + -9b = 40 + 5b + -5b Combine like terms: 5b + -5b = 0 19 + -9b = 40 + 0 19 + -9b = 40 Add '-19' to each side of the equation. 19 + -19 + -9b = 40 + -19 Combine like terms: 19 + -19 = 0 0 + -9b = 40 + -19 -9b = 40 + -19 Combine like terms: 40 + -19 = 21 -9b = 21 Divide each side by '-9'. b = -2.333333333 Simplifying b = -2.333333333
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