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Simplifying 19 = 3(3b + -4) + -2(4b + 5) Reorder the terms: 19 = 3(-4 + 3b) + -2(4b + 5) 19 = (-4 * 3 + 3b * 3) + -2(4b + 5) 19 = (-12 + 9b) + -2(4b + 5) Reorder the terms: 19 = -12 + 9b + -2(5 + 4b) 19 = -12 + 9b + (5 * -2 + 4b * -2) 19 = -12 + 9b + (-10 + -8b) Reorder the terms: 19 = -12 + -10 + 9b + -8b Combine like terms: -12 + -10 = -22 19 = -22 + 9b + -8b Combine like terms: 9b + -8b = 1b 19 = -22 + 1b Solving 19 = -22 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 19 + -1b = -22 + 1b + -1b Combine like terms: 1b + -1b = 0 19 + -1b = -22 + 0 19 + -1b = -22 Add '-19' to each side of the equation. 19 + -19 + -1b = -22 + -19 Combine like terms: 19 + -19 = 0 0 + -1b = -22 + -19 -1b = -22 + -19 Combine like terms: -22 + -19 = -41 -1b = -41 Divide each side by '-1'. b = 41 Simplifying b = 41
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