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Simplifying 37 + 2b = -2b + -5(1 + 2b) 37 + 2b = -2b + (1 * -5 + 2b * -5) 37 + 2b = -2b + (-5 + -10b) Reorder the terms: 37 + 2b = -5 + -2b + -10b Combine like terms: -2b + -10b = -12b 37 + 2b = -5 + -12b Solving 37 + 2b = -5 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 37 + 2b + 12b = -5 + -12b + 12b Combine like terms: 2b + 12b = 14b 37 + 14b = -5 + -12b + 12b Combine like terms: -12b + 12b = 0 37 + 14b = -5 + 0 37 + 14b = -5 Add '-37' to each side of the equation. 37 + -37 + 14b = -5 + -37 Combine like terms: 37 + -37 = 0 0 + 14b = -5 + -37 14b = -5 + -37 Combine like terms: -5 + -37 = -42 14b = -42 Divide each side by '14'. b = -3 Simplifying b = -3
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