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Simplifying 7(5 + -6b) = -39 + -5b (5 * 7 + -6b * 7) = -39 + -5b (35 + -42b) = -39 + -5b Solving 35 + -42b = -39 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 35 + -42b + 5b = -39 + -5b + 5b Combine like terms: -42b + 5b = -37b 35 + -37b = -39 + -5b + 5b Combine like terms: -5b + 5b = 0 35 + -37b = -39 + 0 35 + -37b = -39 Add '-35' to each side of the equation. 35 + -35 + -37b = -39 + -35 Combine like terms: 35 + -35 = 0 0 + -37b = -39 + -35 -37b = -39 + -35 Combine like terms: -39 + -35 = -74 -37b = -74 Divide each side by '-37'. b = 2 Simplifying b = 2
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