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Simplifying (28b + -4) + -9(3b + 4) = 6 Reorder the terms: (-4 + 28b) + -9(3b + 4) = 6 Remove parenthesis around (-4 + 28b) -4 + 28b + -9(3b + 4) = 6 Reorder the terms: -4 + 28b + -9(4 + 3b) = 6 -4 + 28b + (4 * -9 + 3b * -9) = 6 -4 + 28b + (-36 + -27b) = 6 Reorder the terms: -4 + -36 + 28b + -27b = 6 Combine like terms: -4 + -36 = -40 -40 + 28b + -27b = 6 Combine like terms: 28b + -27b = 1b -40 + 1b = 6 Solving -40 + 1b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 1b = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 1b = 6 + 40 1b = 6 + 40 Combine like terms: 6 + 40 = 46 1b = 46 Divide each side by '1'. b = 46 Simplifying b = 46
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