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Simplifying -7(b + -2) + -4 = -1b + -38 Reorder the terms: -7(-2 + b) + -4 = -1b + -38 (-2 * -7 + b * -7) + -4 = -1b + -38 (14 + -7b) + -4 = -1b + -38 Reorder the terms: 14 + -4 + -7b = -1b + -38 Combine like terms: 14 + -4 = 10 10 + -7b = -1b + -38 Reorder the terms: 10 + -7b = -38 + -1b Solving 10 + -7b = -38 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 10 + -7b + b = -38 + -1b + b Combine like terms: -7b + b = -6b 10 + -6b = -38 + -1b + b Combine like terms: -1b + b = 0 10 + -6b = -38 + 0 10 + -6b = -38 Add '-10' to each side of the equation. 10 + -10 + -6b = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -6b = -38 + -10 -6b = -38 + -10 Combine like terms: -38 + -10 = -48 -6b = -48 Divide each side by '-6'. b = 8 Simplifying b = 8
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