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Simplifying 38 + 7b = -8 + 6(6b + -2) Reorder the terms: 38 + 7b = -8 + 6(-2 + 6b) 38 + 7b = -8 + (-2 * 6 + 6b * 6) 38 + 7b = -8 + (-12 + 36b) Combine like terms: -8 + -12 = -20 38 + 7b = -20 + 36b Solving 38 + 7b = -20 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. 38 + 7b + -36b = -20 + 36b + -36b Combine like terms: 7b + -36b = -29b 38 + -29b = -20 + 36b + -36b Combine like terms: 36b + -36b = 0 38 + -29b = -20 + 0 38 + -29b = -20 Add '-38' to each side of the equation. 38 + -38 + -29b = -20 + -38 Combine like terms: 38 + -38 = 0 0 + -29b = -20 + -38 -29b = -20 + -38 Combine like terms: -20 + -38 = -58 -29b = -58 Divide each side by '-29'. b = 2 Simplifying b = 2
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