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Simplifying -19 + 7b = 6(6 + 3b) -19 + 7b = (6 * 6 + 3b * 6) -19 + 7b = (36 + 18b) Solving -19 + 7b = 36 + 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 + 7b + -18b = 36 + 18b + -18b Combine like terms: 7b + -18b = -11b -19 + -11b = 36 + 18b + -18b Combine like terms: 18b + -18b = 0 -19 + -11b = 36 + 0 -19 + -11b = 36 Add '19' to each side of the equation. -19 + 19 + -11b = 36 + 19 Combine like terms: -19 + 19 = 0 0 + -11b = 36 + 19 -11b = 36 + 19 Combine like terms: 36 + 19 = 55 -11b = 55 Divide each side by '-11'. b = -5 Simplifying b = -5
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