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Simplifying 38 + b = 7(4b + -7) + 6 Reorder the terms: 38 + b = 7(-7 + 4b) + 6 38 + b = (-7 * 7 + 4b * 7) + 6 38 + b = (-49 + 28b) + 6 Reorder the terms: 38 + b = -49 + 6 + 28b Combine like terms: -49 + 6 = -43 38 + b = -43 + 28b Solving 38 + b = -43 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 38 + b + -28b = -43 + 28b + -28b Combine like terms: b + -28b = -27b 38 + -27b = -43 + 28b + -28b Combine like terms: 28b + -28b = 0 38 + -27b = -43 + 0 38 + -27b = -43 Add '-38' to each side of the equation. 38 + -38 + -27b = -43 + -38 Combine like terms: 38 + -38 = 0 0 + -27b = -43 + -38 -27b = -43 + -38 Combine like terms: -43 + -38 = -81 -27b = -81 Divide each side by '-27'. b = 3 Simplifying b = 3
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