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Simplifying (27b + -1) + -7(4b + 1) = -5 Reorder the terms: (-1 + 27b) + -7(4b + 1) = -5 Remove parenthesis around (-1 + 27b) -1 + 27b + -7(4b + 1) = -5 Reorder the terms: -1 + 27b + -7(1 + 4b) = -5 -1 + 27b + (1 * -7 + 4b * -7) = -5 -1 + 27b + (-7 + -28b) = -5 Reorder the terms: -1 + -7 + 27b + -28b = -5 Combine like terms: -1 + -7 = -8 -8 + 27b + -28b = -5 Combine like terms: 27b + -28b = -1b -8 + -1b = -5 Solving -8 + -1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1b = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = -5 + 8 -1b = -5 + 8 Combine like terms: -5 + 8 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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