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Simplifying 19 = -3(24 + -1b) + 2(b + -2) 19 = (24 * -3 + -1b * -3) + 2(b + -2) 19 = (-72 + 3b) + 2(b + -2) Reorder the terms: 19 = -72 + 3b + 2(-2 + b) 19 = -72 + 3b + (-2 * 2 + b * 2) 19 = -72 + 3b + (-4 + 2b) Reorder the terms: 19 = -72 + -4 + 3b + 2b Combine like terms: -72 + -4 = -76 19 = -76 + 3b + 2b Combine like terms: 3b + 2b = 5b 19 = -76 + 5b Solving 19 = -76 + 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 + -5b = -76 + 5b + -5b Combine like terms: 5b + -5b = 0 19 + -5b = -76 + 0 19 + -5b = -76 Add '-19' to each side of the equation. 19 + -19 + -5b = -76 + -19 Combine like terms: 19 + -19 = 0 0 + -5b = -76 + -19 -5b = -76 + -19 Combine like terms: -76 + -19 = -95 -5b = -95 Divide each side by '-5'. b = 19 Simplifying b = 19
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