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