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