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Simplifying 3 + -2(2b + 1) + -13 = 2b Reorder the terms: 3 + -2(1 + 2b) + -13 = 2b 3 + (1 * -2 + 2b * -2) + -13 = 2b 3 + (-2 + -4b) + -13 = 2b Reorder the terms: 3 + -2 + -13 + -4b = 2b Combine like terms: 3 + -2 = 1 1 + -13 + -4b = 2b Combine like terms: 1 + -13 = -12 -12 + -4b = 2b Solving -12 + -4b = 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. -12 + -4b + -2b = 2b + -2b Combine like terms: -4b + -2b = -6b -12 + -6b = 2b + -2b Combine like terms: 2b + -2b = 0 -12 + -6b = 0 Add '12' to each side of the equation. -12 + 12 + -6b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -6b = 0 + 12 -6b = 0 + 12 Combine like terms: 0 + 12 = 12 -6b = 12 Divide each side by '-6'. b = -2 Simplifying b = -2
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