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Simplifying 3 + 10(B + -4) = -27 + -1(10 + -4B) Reorder the terms: 3 + 10(-4 + B) = -27 + -1(10 + -4B) 3 + (-4 * 10 + B * 10) = -27 + -1(10 + -4B) 3 + (-40 + 10B) = -27 + -1(10 + -4B) Combine like terms: 3 + -40 = -37 -37 + 10B = -27 + -1(10 + -4B) -37 + 10B = -27 + (10 * -1 + -4B * -1) -37 + 10B = -27 + (-10 + 4B) Combine like terms: -27 + -10 = -37 -37 + 10B = -37 + 4B Add '37' to each side of the equation. -37 + 37 + 10B = -37 + 37 + 4B Combine like terms: -37 + 37 = 0 0 + 10B = -37 + 37 + 4B 10B = -37 + 37 + 4B Combine like terms: -37 + 37 = 0 10B = 0 + 4B 10B = 4B Solving 10B = 4B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-4B' to each side of the equation. 10B + -4B = 4B + -4B Combine like terms: 10B + -4B = 6B 6B = 4B + -4B Combine like terms: 4B + -4B = 0 6B = 0 Divide each side by '6'. B = 0 Simplifying B = 0
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