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Simplifying 19 + 5b = 6(1 + 3b) 19 + 5b = (1 * 6 + 3b * 6) 19 + 5b = (6 + 18b) Solving 19 + 5b = 6 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 19 + 5b + -18b = 6 + 18b + -18b Combine like terms: 5b + -18b = -13b 19 + -13b = 6 + 18b + -18b Combine like terms: 18b + -18b = 0 19 + -13b = 6 + 0 19 + -13b = 6 Add '-19' to each side of the equation. 19 + -19 + -13b = 6 + -19 Combine like terms: 19 + -19 = 0 0 + -13b = 6 + -19 -13b = 6 + -19 Combine like terms: 6 + -19 = -13 -13b = -13 Divide each side by '-13'. b = 1 Simplifying b = 1
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