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Simplifying -28b + (-46b) + 32b + -1(-44b) + 3 = (-47) Remove parenthesis around (-44b) -28b + (-46b) + 32b + -1 * -44b + 3 = (-47) Multiply -1 * -44 -28b + (-46b) + 32b + 44b + 3 = (-47) Reorder the terms: 3 + -28b + (-46b) + 32b + 44b = (-47) Combine like terms: -28b + (-46b) = -74b 3 + -74b + 32b + 44b = (-47) Combine like terms: -74b + 32b = -42b 3 + -42b + 44b = (-47) Combine like terms: -42b + 44b = 2b 3 + 2b = (-47) 3 + 2b = -47 Solving 3 + 2b = -47 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = -47 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = -47 + -3 2b = -47 + -3 Combine like terms: -47 + -3 = -50 2b = -50 Divide each side by '2'. b = -25 Simplifying b = -25
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