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Simplifying 19b + 4 + -12b = 6(3b + 19) Reorder the terms: 4 + 19b + -12b = 6(3b + 19) Combine like terms: 19b + -12b = 7b 4 + 7b = 6(3b + 19) Reorder the terms: 4 + 7b = 6(19 + 3b) 4 + 7b = (19 * 6 + 3b * 6) 4 + 7b = (114 + 18b) Solving 4 + 7b = 114 + 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. 4 + 7b + -18b = 114 + 18b + -18b Combine like terms: 7b + -18b = -11b 4 + -11b = 114 + 18b + -18b Combine like terms: 18b + -18b = 0 4 + -11b = 114 + 0 4 + -11b = 114 Add '-4' to each side of the equation. 4 + -4 + -11b = 114 + -4 Combine like terms: 4 + -4 = 0 0 + -11b = 114 + -4 -11b = 114 + -4 Combine like terms: 114 + -4 = 110 -11b = 110 Divide each side by '-11'. b = -10 Simplifying b = -10
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