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Simplifying 37 = -7(7 + -6b) + -4(-8 + -3b) 37 = (7 * -7 + -6b * -7) + -4(-8 + -3b) 37 = (-49 + 42b) + -4(-8 + -3b) 37 = -49 + 42b + (-8 * -4 + -3b * -4) 37 = -49 + 42b + (32 + 12b) Reorder the terms: 37 = -49 + 32 + 42b + 12b Combine like terms: -49 + 32 = -17 37 = -17 + 42b + 12b Combine like terms: 42b + 12b = 54b 37 = -17 + 54b Solving 37 = -17 + 54b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-54b' to each side of the equation. 37 + -54b = -17 + 54b + -54b Combine like terms: 54b + -54b = 0 37 + -54b = -17 + 0 37 + -54b = -17 Add '-37' to each side of the equation. 37 + -37 + -54b = -17 + -37 Combine like terms: 37 + -37 = 0 0 + -54b = -17 + -37 -54b = -17 + -37 Combine like terms: -17 + -37 = -54 -54b = -54 Divide each side by '-54'. b = 1 Simplifying b = 1
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