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Simplifying (1 + 2b) + -1(13) = (12) + -1(4b) + -1(2b) Remove parenthesis around (1 + 2b) 1 + 2b + -1(13) = (12) + -1(4b) + -1(2b) Multiply -1 * 13 1 + 2b + -13 = (12) + -1(4b) + -1(2b) Reorder the terms: 1 + -13 + 2b = (12) + -1(4b) + -1(2b) Combine like terms: 1 + -13 = -12 -12 + 2b = (12) + -1(4b) + -1(2b) -12 + 2b = 12 + -1(4b) + -1(2b) Remove parenthesis around (4b) -12 + 2b = 12 + -1 * 4b + -1(2b) Multiply -1 * 4 -12 + 2b = 12 + -4b + -1(2b) Remove parenthesis around (2b) -12 + 2b = 12 + -4b + -1 * 2b Multiply -1 * 2 -12 + 2b = 12 + -4b + -2b Combine like terms: -4b + -2b = -6b -12 + 2b = 12 + -6b Solving -12 + 2b = 12 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -12 + 2b + 6b = 12 + -6b + 6b Combine like terms: 2b + 6b = 8b -12 + 8b = 12 + -6b + 6b Combine like terms: -6b + 6b = 0 -12 + 8b = 12 + 0 -12 + 8b = 12 Add '12' to each side of the equation. -12 + 12 + 8b = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8b = 12 + 12 8b = 12 + 12 Combine like terms: 12 + 12 = 24 8b = 24 Divide each side by '8'. b = 3 Simplifying b = 3
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