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Simplifying (28b + -2) + -9(3b + 1) = -7 Reorder the terms: (-2 + 28b) + -9(3b + 1) = -7 Remove parenthesis around (-2 + 28b) -2 + 28b + -9(3b + 1) = -7 Reorder the terms: -2 + 28b + -9(1 + 3b) = -7 -2 + 28b + (1 * -9 + 3b * -9) = -7 -2 + 28b + (-9 + -27b) = -7 Reorder the terms: -2 + -9 + 28b + -27b = -7 Combine like terms: -2 + -9 = -11 -11 + 28b + -27b = -7 Combine like terms: 28b + -27b = 1b -11 + 1b = -7 Solving -11 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = -7 + 11 1b = -7 + 11 Combine like terms: -7 + 11 = 4 1b = 4 Divide each side by '1'. b = 4 Simplifying b = 4
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