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Simplifying -1(4b + -7) = 2(b + 3) + -4B + 13 Reorder the terms: -1(-7 + 4b) = 2(b + 3) + -4B + 13 (-7 * -1 + 4b * -1) = 2(b + 3) + -4B + 13 (7 + -4b) = 2(b + 3) + -4B + 13 Reorder the terms: 7 + -4b = 2(3 + b) + -4B + 13 7 + -4b = (3 * 2 + b * 2) + -4B + 13 7 + -4b = (6 + 2b) + -4B + 13 Reorder the terms: 7 + -4b = 6 + 13 + -4B + 2b Combine like terms: 6 + 13 = 19 7 + -4b = 19 + -4B + 2b Solving 7 + -4b = 19 + -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. 7 + -4b + -2b = 19 + -4B + 2b + -2b Combine like terms: -4b + -2b = -6b 7 + -6b = 19 + -4B + 2b + -2b Combine like terms: 2b + -2b = 0 7 + -6b = 19 + -4B + 0 7 + -6b = 19 + -4B Add '-7' to each side of the equation. 7 + -7 + -6b = 19 + -7 + -4B Combine like terms: 7 + -7 = 0 0 + -6b = 19 + -7 + -4B -6b = 19 + -7 + -4B Combine like terms: 19 + -7 = 12 -6b = 12 + -4B Divide each side by '-6'. b = -2 + 0.6666666667B Simplifying b = -2 + 0.6666666667B
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