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Simplifying 94 = 7(6 + -1b) + -6b 94 = (6 * 7 + -1b * 7) + -6b 94 = (42 + -7b) + -6b Combine like terms: -7b + -6b = -13b 94 = 42 + -13b Solving 94 = 42 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. 94 + 13b = 42 + -13b + 13b Combine like terms: -13b + 13b = 0 94 + 13b = 42 + 0 94 + 13b = 42 Add '-94' to each side of the equation. 94 + -94 + 13b = 42 + -94 Combine like terms: 94 + -94 = 0 0 + 13b = 42 + -94 13b = 42 + -94 Combine like terms: 42 + -94 = -52 13b = -52 Divide each side by '13'. b = -4 Simplifying b = -4
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