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Simplifying 5 + -3(b + 2) = 2b + 7 + -1(b + -2) Reorder the terms: 5 + -3(2 + b) = 2b + 7 + -1(b + -2) 5 + (2 * -3 + b * -3) = 2b + 7 + -1(b + -2) 5 + (-6 + -3b) = 2b + 7 + -1(b + -2) Combine like terms: 5 + -6 = -1 -1 + -3b = 2b + 7 + -1(b + -2) Reorder the terms: -1 + -3b = 2b + 7 + -1(-2 + b) -1 + -3b = 2b + 7 + (-2 * -1 + b * -1) -1 + -3b = 2b + 7 + (2 + -1b) Reorder the terms: -1 + -3b = 7 + 2 + 2b + -1b Combine like terms: 7 + 2 = 9 -1 + -3b = 9 + 2b + -1b Combine like terms: 2b + -1b = 1b -1 + -3b = 9 + 1b Solving -1 + -3b = 9 + 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. -1 + -3b + -1b = 9 + 1b + -1b Combine like terms: -3b + -1b = -4b -1 + -4b = 9 + 1b + -1b Combine like terms: 1b + -1b = 0 -1 + -4b = 9 + 0 -1 + -4b = 9 Add '1' to each side of the equation. -1 + 1 + -4b = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -4b = 9 + 1 -4b = 9 + 1 Combine like terms: 9 + 1 = 10 -4b = 10 Divide each side by '-4'. b = -2.5 Simplifying b = -2.5
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