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Simplifying 6(7 + -1b) = 3b + -3 (7 * 6 + -1b * 6) = 3b + -3 (42 + -6b) = 3b + -3 Reorder the terms: 42 + -6b = -3 + 3b Solving 42 + -6b = -3 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 42 + -6b + -3b = -3 + 3b + -3b Combine like terms: -6b + -3b = -9b 42 + -9b = -3 + 3b + -3b Combine like terms: 3b + -3b = 0 42 + -9b = -3 + 0 42 + -9b = -3 Add '-42' to each side of the equation. 42 + -42 + -9b = -3 + -42 Combine like terms: 42 + -42 = 0 0 + -9b = -3 + -42 -9b = -3 + -42 Combine like terms: -3 + -42 = -45 -9b = -45 Divide each side by '-9'. b = 5 Simplifying b = 5
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