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Simplifying 38 + -3b = 4(-2b + 8) + 3b Reorder the terms: 38 + -3b = 4(8 + -2b) + 3b 38 + -3b = (8 * 4 + -2b * 4) + 3b 38 + -3b = (32 + -8b) + 3b Combine like terms: -8b + 3b = -5b 38 + -3b = 32 + -5b Solving 38 + -3b = 32 + -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. 38 + -3b + 5b = 32 + -5b + 5b Combine like terms: -3b + 5b = 2b 38 + 2b = 32 + -5b + 5b Combine like terms: -5b + 5b = 0 38 + 2b = 32 + 0 38 + 2b = 32 Add '-38' to each side of the equation. 38 + -38 + 2b = 32 + -38 Combine like terms: 38 + -38 = 0 0 + 2b = 32 + -38 2b = 32 + -38 Combine like terms: 32 + -38 = -6 2b = -6 Divide each side by '2'. b = -3 Simplifying b = -3
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