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Simplifying 9b + -3(b + -4) = 13 + 2(b + -3) Reorder the terms: 9b + -3(-4 + b) = 13 + 2(b + -3) 9b + (-4 * -3 + b * -3) = 13 + 2(b + -3) 9b + (12 + -3b) = 13 + 2(b + -3) Reorder the terms: 12 + 9b + -3b = 13 + 2(b + -3) Combine like terms: 9b + -3b = 6b 12 + 6b = 13 + 2(b + -3) Reorder the terms: 12 + 6b = 13 + 2(-3 + b) 12 + 6b = 13 + (-3 * 2 + b * 2) 12 + 6b = 13 + (-6 + 2b) Combine like terms: 13 + -6 = 7 12 + 6b = 7 + 2b Solving 12 + 6b = 7 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 12 + 6b + -2b = 7 + 2b + -2b Combine like terms: 6b + -2b = 4b 12 + 4b = 7 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 4b = 7 + 0 12 + 4b = 7 Add '-12' to each side of the equation. 12 + -12 + 4b = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 4b = 7 + -12 4b = 7 + -12 Combine like terms: 7 + -12 = -5 4b = -5 Divide each side by '4'. b = -1.25 Simplifying b = -1.25
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