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Simplifying (28b + -3) + -9(3b + 4) = 5 Reorder the terms: (-3 + 28b) + -9(3b + 4) = 5 Remove parenthesis around (-3 + 28b) -3 + 28b + -9(3b + 4) = 5 Reorder the terms: -3 + 28b + -9(4 + 3b) = 5 -3 + 28b + (4 * -9 + 3b * -9) = 5 -3 + 28b + (-36 + -27b) = 5 Reorder the terms: -3 + -36 + 28b + -27b = 5 Combine like terms: -3 + -36 = -39 -39 + 28b + -27b = 5 Combine like terms: 28b + -27b = 1b -39 + 1b = 5 Solving -39 + 1b = 5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 1b = 5 + 39 Combine like terms: -39 + 39 = 0 0 + 1b = 5 + 39 1b = 5 + 39 Combine like terms: 5 + 39 = 44 1b = 44 Divide each side by '1'. b = 44 Simplifying b = 44
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