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Simplifying 2b + -10 + 3b + -6 = 8 + 7b + -28 Reorder the terms: -10 + -6 + 2b + 3b = 8 + 7b + -28 Combine like terms: -10 + -6 = -16 -16 + 2b + 3b = 8 + 7b + -28 Combine like terms: 2b + 3b = 5b -16 + 5b = 8 + 7b + -28 Reorder the terms: -16 + 5b = 8 + -28 + 7b Combine like terms: 8 + -28 = -20 -16 + 5b = -20 + 7b Solving -16 + 5b = -20 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -16 + 5b + -7b = -20 + 7b + -7b Combine like terms: 5b + -7b = -2b -16 + -2b = -20 + 7b + -7b Combine like terms: 7b + -7b = 0 -16 + -2b = -20 + 0 -16 + -2b = -20 Add '16' to each side of the equation. -16 + 16 + -2b = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -2b = -20 + 16 -2b = -20 + 16 Combine like terms: -20 + 16 = -4 -2b = -4 Divide each side by '-2'. b = 2 Simplifying b = 2
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