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Simplifying -3(5b + 7) = 21 + -1b Reorder the terms: -3(7 + 5b) = 21 + -1b (7 * -3 + 5b * -3) = 21 + -1b (-21 + -15b) = 21 + -1b Solving -21 + -15b = 21 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -21 + -15b + b = 21 + -1b + b Combine like terms: -15b + b = -14b -21 + -14b = 21 + -1b + b Combine like terms: -1b + b = 0 -21 + -14b = 21 + 0 -21 + -14b = 21 Add '21' to each side of the equation. -21 + 21 + -14b = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -14b = 21 + 21 -14b = 21 + 21 Combine like terms: 21 + 21 = 42 -14b = 42 Divide each side by '-14'. b = -3 Simplifying b = -3
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