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Simplifying 38 + b = 2(7b + -2) + 8b Reorder the terms: 38 + b = 2(-2 + 7b) + 8b 38 + b = (-2 * 2 + 7b * 2) + 8b 38 + b = (-4 + 14b) + 8b Combine like terms: 14b + 8b = 22b 38 + b = -4 + 22b Solving 38 + b = -4 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. 38 + b + -22b = -4 + 22b + -22b Combine like terms: b + -22b = -21b 38 + -21b = -4 + 22b + -22b Combine like terms: 22b + -22b = 0 38 + -21b = -4 + 0 38 + -21b = -4 Add '-38' to each side of the equation. 38 + -38 + -21b = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -21b = -4 + -38 -21b = -4 + -38 Combine like terms: -4 + -38 = -42 -21b = -42 Divide each side by '-21'. b = 2 Simplifying b = 2
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