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Simplifying 5(1 + -2b) = -37 + -4b (1 * 5 + -2b * 5) = -37 + -4b (5 + -10b) = -37 + -4b Solving 5 + -10b = -37 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 5 + -10b + 4b = -37 + -4b + 4b Combine like terms: -10b + 4b = -6b 5 + -6b = -37 + -4b + 4b Combine like terms: -4b + 4b = 0 5 + -6b = -37 + 0 5 + -6b = -37 Add '-5' to each side of the equation. 5 + -5 + -6b = -37 + -5 Combine like terms: 5 + -5 = 0 0 + -6b = -37 + -5 -6b = -37 + -5 Combine like terms: -37 + -5 = -42 -6b = -42 Divide each side by '-6'. b = 7 Simplifying b = 7
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