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Simplifying 5b + 19 = 10b + 4(9 + 3b) Reorder the terms: 19 + 5b = 10b + 4(9 + 3b) 19 + 5b = 10b + (9 * 4 + 3b * 4) 19 + 5b = 10b + (36 + 12b) Reorder the terms: 19 + 5b = 36 + 10b + 12b Combine like terms: 10b + 12b = 22b 19 + 5b = 36 + 22b Solving 19 + 5b = 36 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. 19 + 5b + -22b = 36 + 22b + -22b Combine like terms: 5b + -22b = -17b 19 + -17b = 36 + 22b + -22b Combine like terms: 22b + -22b = 0 19 + -17b = 36 + 0 19 + -17b = 36 Add '-19' to each side of the equation. 19 + -19 + -17b = 36 + -19 Combine like terms: 19 + -19 = 0 0 + -17b = 36 + -19 -17b = 36 + -19 Combine like terms: 36 + -19 = 17 -17b = 17 Divide each side by '-17'. b = -1 Simplifying b = -1
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