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Simplifying 2b + -10b + -15 + 5 = 8b + -40 + -4b + -6 Reorder the terms: -15 + 5 + 2b + -10b = 8b + -40 + -4b + -6 Combine like terms: -15 + 5 = -10 -10 + 2b + -10b = 8b + -40 + -4b + -6 Combine like terms: 2b + -10b = -8b -10 + -8b = 8b + -40 + -4b + -6 Reorder the terms: -10 + -8b = -40 + -6 + 8b + -4b Combine like terms: -40 + -6 = -46 -10 + -8b = -46 + 8b + -4b Combine like terms: 8b + -4b = 4b -10 + -8b = -46 + 4b Solving -10 + -8b = -46 + 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. -10 + -8b + -4b = -46 + 4b + -4b Combine like terms: -8b + -4b = -12b -10 + -12b = -46 + 4b + -4b Combine like terms: 4b + -4b = 0 -10 + -12b = -46 + 0 -10 + -12b = -46 Add '10' to each side of the equation. -10 + 10 + -12b = -46 + 10 Combine like terms: -10 + 10 = 0 0 + -12b = -46 + 10 -12b = -46 + 10 Combine like terms: -46 + 10 = -36 -12b = -36 Divide each side by '-12'. b = 3 Simplifying b = 3
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