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Simplifying 37 + -3b = -2(1 + 8b) 37 + -3b = (1 * -2 + 8b * -2) 37 + -3b = (-2 + -16b) Solving 37 + -3b = -2 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. 37 + -3b + 16b = -2 + -16b + 16b Combine like terms: -3b + 16b = 13b 37 + 13b = -2 + -16b + 16b Combine like terms: -16b + 16b = 0 37 + 13b = -2 + 0 37 + 13b = -2 Add '-37' to each side of the equation. 37 + -37 + 13b = -2 + -37 Combine like terms: 37 + -37 = 0 0 + 13b = -2 + -37 13b = -2 + -37 Combine like terms: -2 + -37 = -39 13b = -39 Divide each side by '13'. b = -3 Simplifying b = -3
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