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Simplifying -5b + 5 + -1b + 3 = 2(b + 7) + -2(3b + 2) Reorder the terms: 5 + 3 + -5b + -1b = 2(b + 7) + -2(3b + 2) Combine like terms: 5 + 3 = 8 8 + -5b + -1b = 2(b + 7) + -2(3b + 2) Combine like terms: -5b + -1b = -6b 8 + -6b = 2(b + 7) + -2(3b + 2) Reorder the terms: 8 + -6b = 2(7 + b) + -2(3b + 2) 8 + -6b = (7 * 2 + b * 2) + -2(3b + 2) 8 + -6b = (14 + 2b) + -2(3b + 2) Reorder the terms: 8 + -6b = 14 + 2b + -2(2 + 3b) 8 + -6b = 14 + 2b + (2 * -2 + 3b * -2) 8 + -6b = 14 + 2b + (-4 + -6b) Reorder the terms: 8 + -6b = 14 + -4 + 2b + -6b Combine like terms: 14 + -4 = 10 8 + -6b = 10 + 2b + -6b Combine like terms: 2b + -6b = -4b 8 + -6b = 10 + -4b Solving 8 + -6b = 10 + -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. 8 + -6b + 4b = 10 + -4b + 4b Combine like terms: -6b + 4b = -2b 8 + -2b = 10 + -4b + 4b Combine like terms: -4b + 4b = 0 8 + -2b = 10 + 0 8 + -2b = 10 Add '-8' to each side of the equation. 8 + -8 + -2b = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2b = 10 + -8 -2b = 10 + -8 Combine like terms: 10 + -8 = 2 -2b = 2 Divide each side by '-2'. b = -1 Simplifying b = -1
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