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Simplifying 4b + 19 = 5(b + 3) Reorder the terms: 19 + 4b = 5(b + 3) Reorder the terms: 19 + 4b = 5(3 + b) 19 + 4b = (3 * 5 + b * 5) 19 + 4b = (15 + 5b) Solving 19 + 4b = 15 + 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 = 15 + 5b + -5b Combine like terms: 4b + -5b = -1b 19 + -1b = 15 + 5b + -5b Combine like terms: 5b + -5b = 0 19 + -1b = 15 + 0 19 + -1b = 15 Add '-19' to each side of the equation. 19 + -19 + -1b = 15 + -19 Combine like terms: 19 + -19 = 0 0 + -1b = 15 + -19 -1b = 15 + -19 Combine like terms: 15 + -19 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4
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