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Simplifying -27 + 5b = -13 + 4(5b + -11) Reorder the terms: -27 + 5b = -13 + 4(-11 + 5b) -27 + 5b = -13 + (-11 * 4 + 5b * 4) -27 + 5b = -13 + (-44 + 20b) Combine like terms: -13 + -44 = -57 -27 + 5b = -57 + 20b Solving -27 + 5b = -57 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -27 + 5b + -20b = -57 + 20b + -20b Combine like terms: 5b + -20b = -15b -27 + -15b = -57 + 20b + -20b Combine like terms: 20b + -20b = 0 -27 + -15b = -57 + 0 -27 + -15b = -57 Add '27' to each side of the equation. -27 + 27 + -15b = -57 + 27 Combine like terms: -27 + 27 = 0 0 + -15b = -57 + 27 -15b = -57 + 27 Combine like terms: -57 + 27 = -30 -15b = -30 Divide each side by '-15'. b = 2 Simplifying b = 2
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