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Simplifying -3(5 + 7b) = 27 + -7b (5 * -3 + 7b * -3) = 27 + -7b (-15 + -21b) = 27 + -7b Solving -15 + -21b = 27 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -15 + -21b + 7b = 27 + -7b + 7b Combine like terms: -21b + 7b = -14b -15 + -14b = 27 + -7b + 7b Combine like terms: -7b + 7b = 0 -15 + -14b = 27 + 0 -15 + -14b = 27 Add '15' to each side of the equation. -15 + 15 + -14b = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -14b = 27 + 15 -14b = 27 + 15 Combine like terms: 27 + 15 = 42 -14b = 42 Divide each side by '-14'. b = -3 Simplifying b = -3
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