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Simplifying 7(6 + -8B) = 5B + -19 (6 * 7 + -8B * 7) = 5B + -19 (42 + -56B) = 5B + -19 Reorder the terms: 42 + -56B = -19 + 5B Solving 42 + -56B = -19 + 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. 42 + -56B + -5B = -19 + 5B + -5B Combine like terms: -56B + -5B = -61B 42 + -61B = -19 + 5B + -5B Combine like terms: 5B + -5B = 0 42 + -61B = -19 + 0 42 + -61B = -19 Add '-42' to each side of the equation. 42 + -42 + -61B = -19 + -42 Combine like terms: 42 + -42 = 0 0 + -61B = -19 + -42 -61B = -19 + -42 Combine like terms: -19 + -42 = -61 -61B = -61 Divide each side by '-61'. B = 1 Simplifying B = 1
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