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Simplifying -1(9b + 7) + 4b = 3(3 + -2b) Reorder the terms: -1(7 + 9b) + 4b = 3(3 + -2b) (7 * -1 + 9b * -1) + 4b = 3(3 + -2b) (-7 + -9b) + 4b = 3(3 + -2b) Combine like terms: -9b + 4b = -5b -7 + -5b = 3(3 + -2b) -7 + -5b = (3 * 3 + -2b * 3) -7 + -5b = (9 + -6b) Solving -7 + -5b = 9 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -7 + -5b + 6b = 9 + -6b + 6b Combine like terms: -5b + 6b = 1b -7 + 1b = 9 + -6b + 6b Combine like terms: -6b + 6b = 0 -7 + 1b = 9 + 0 -7 + 1b = 9 Add '7' to each side of the equation. -7 + 7 + 1b = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = 9 + 7 1b = 9 + 7 Combine like terms: 9 + 7 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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