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Simplifying 2 + 3(b + -9) = 5 + -1(b + 3) Reorder the terms: 2 + 3(-9 + b) = 5 + -1(b + 3) 2 + (-9 * 3 + b * 3) = 5 + -1(b + 3) 2 + (-27 + 3b) = 5 + -1(b + 3) Combine like terms: 2 + -27 = -25 -25 + 3b = 5 + -1(b + 3) Reorder the terms: -25 + 3b = 5 + -1(3 + b) -25 + 3b = 5 + (3 * -1 + b * -1) -25 + 3b = 5 + (-3 + -1b) Combine like terms: 5 + -3 = 2 -25 + 3b = 2 + -1b Solving -25 + 3b = 2 + -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. -25 + 3b + b = 2 + -1b + b Combine like terms: 3b + b = 4b -25 + 4b = 2 + -1b + b Combine like terms: -1b + b = 0 -25 + 4b = 2 + 0 -25 + 4b = 2 Add '25' to each side of the equation. -25 + 25 + 4b = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 4b = 2 + 25 4b = 2 + 25 Combine like terms: 2 + 25 = 27 4b = 27 Divide each side by '4'. b = 6.75 Simplifying b = 6.75
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