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Simplifying 2(b + -5) + -6(b + -3) = 8b + -4b Reorder the terms: 2(-5 + b) + -6(b + -3) = 8b + -4b (-5 * 2 + b * 2) + -6(b + -3) = 8b + -4b (-10 + 2b) + -6(b + -3) = 8b + -4b Reorder the terms: -10 + 2b + -6(-3 + b) = 8b + -4b -10 + 2b + (-3 * -6 + b * -6) = 8b + -4b -10 + 2b + (18 + -6b) = 8b + -4b Reorder the terms: -10 + 18 + 2b + -6b = 8b + -4b Combine like terms: -10 + 18 = 8 8 + 2b + -6b = 8b + -4b Combine like terms: 2b + -6b = -4b 8 + -4b = 8b + -4b Combine like terms: 8b + -4b = 4b 8 + -4b = 4b Solving 8 + -4b = 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 + -4b + -4b = 4b + -4b Combine like terms: -4b + -4b = -8b 8 + -8b = 4b + -4b Combine like terms: 4b + -4b = 0 8 + -8b = 0 Add '-8' to each side of the equation. 8 + -8 + -8b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8b = 0 + -8 -8b = 0 + -8 Combine like terms: 0 + -8 = -8 -8b = -8 Divide each side by '-8'. b = 1 Simplifying b = 1
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