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Simplifying -2b + -3(1 + 4b) = 37 + -6b -2b + (1 * -3 + 4b * -3) = 37 + -6b -2b + (-3 + -12b) = 37 + -6b Reorder the terms: -3 + -2b + -12b = 37 + -6b Combine like terms: -2b + -12b = -14b -3 + -14b = 37 + -6b Solving -3 + -14b = 37 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -3 + -14b + 6b = 37 + -6b + 6b Combine like terms: -14b + 6b = -8b -3 + -8b = 37 + -6b + 6b Combine like terms: -6b + 6b = 0 -3 + -8b = 37 + 0 -3 + -8b = 37 Add '3' to each side of the equation. -3 + 3 + -8b = 37 + 3 Combine like terms: -3 + 3 = 0 0 + -8b = 37 + 3 -8b = 37 + 3 Combine like terms: 37 + 3 = 40 -8b = 40 Divide each side by '-8'. b = -5 Simplifying b = -5
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