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Simplifying 5(b + -2) + (b + -3) = 2(2b + 1) + -9 Reorder the terms: 5(-2 + b) + (b + -3) = 2(2b + 1) + -9 (-2 * 5 + b * 5) + (b + -3) = 2(2b + 1) + -9 (-10 + 5b) + (b + -3) = 2(2b + 1) + -9 Reorder the terms: -10 + 5b + (-3 + b) = 2(2b + 1) + -9 Remove parenthesis around (-3 + b) -10 + 5b + -3 + b = 2(2b + 1) + -9 Reorder the terms: -10 + -3 + 5b + b = 2(2b + 1) + -9 Combine like terms: -10 + -3 = -13 -13 + 5b + b = 2(2b + 1) + -9 Combine like terms: 5b + b = 6b -13 + 6b = 2(2b + 1) + -9 Reorder the terms: -13 + 6b = 2(1 + 2b) + -9 -13 + 6b = (1 * 2 + 2b * 2) + -9 -13 + 6b = (2 + 4b) + -9 Reorder the terms: -13 + 6b = 2 + -9 + 4b Combine like terms: 2 + -9 = -7 -13 + 6b = -7 + 4b Solving -13 + 6b = -7 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -13 + 6b + -4b = -7 + 4b + -4b Combine like terms: 6b + -4b = 2b -13 + 2b = -7 + 4b + -4b Combine like terms: 4b + -4b = 0 -13 + 2b = -7 + 0 -13 + 2b = -7 Add '13' to each side of the equation. -13 + 13 + 2b = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 2b = -7 + 13 2b = -7 + 13 Combine like terms: -7 + 13 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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