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Simplifying 38 = -2(23 + -1b) + 4(b + -3) 38 = (23 * -2 + -1b * -2) + 4(b + -3) 38 = (-46 + 2b) + 4(b + -3) Reorder the terms: 38 = -46 + 2b + 4(-3 + b) 38 = -46 + 2b + (-3 * 4 + b * 4) 38 = -46 + 2b + (-12 + 4b) Reorder the terms: 38 = -46 + -12 + 2b + 4b Combine like terms: -46 + -12 = -58 38 = -58 + 2b + 4b Combine like terms: 2b + 4b = 6b 38 = -58 + 6b Solving 38 = -58 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 38 + -6b = -58 + 6b + -6b Combine like terms: 6b + -6b = 0 38 + -6b = -58 + 0 38 + -6b = -58 Add '-38' to each side of the equation. 38 + -38 + -6b = -58 + -38 Combine like terms: 38 + -38 = 0 0 + -6b = -58 + -38 -6b = -58 + -38 Combine like terms: -58 + -38 = -96 -6b = -96 Divide each side by '-6'. b = 16 Simplifying b = 16
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