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Simplifying (-6b + 7) + -1(5b + -3) = 0 Reorder the terms: (7 + -6b) + -1(5b + -3) = 0 Remove parenthesis around (7 + -6b) 7 + -6b + -1(5b + -3) = 0 Reorder the terms: 7 + -6b + -1(-3 + 5b) = 0 7 + -6b + (-3 * -1 + 5b * -1) = 0 7 + -6b + (3 + -5b) = 0 Reorder the terms: 7 + 3 + -6b + -5b = 0 Combine like terms: 7 + 3 = 10 10 + -6b + -5b = 0 Combine like terms: -6b + -5b = -11b 10 + -11b = 0 Solving 10 + -11b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11b = 0 + -10 -11b = 0 + -10 Combine like terms: 0 + -10 = -10 -11b = -10 Divide each side by '-11'. b = 0.9090909091 Simplifying b = 0.9090909091
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