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Simplifying 3(B + -23) = 18 + -2(B + -4) Reorder the terms: 3(-23 + B) = 18 + -2(B + -4) (-23 * 3 + B * 3) = 18 + -2(B + -4) (-69 + 3B) = 18 + -2(B + -4) Reorder the terms: -69 + 3B = 18 + -2(-4 + B) -69 + 3B = 18 + (-4 * -2 + B * -2) -69 + 3B = 18 + (8 + -2B) Combine like terms: 18 + 8 = 26 -69 + 3B = 26 + -2B Solving -69 + 3B = 26 + -2B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '2B' to each side of the equation. -69 + 3B + 2B = 26 + -2B + 2B Combine like terms: 3B + 2B = 5B -69 + 5B = 26 + -2B + 2B Combine like terms: -2B + 2B = 0 -69 + 5B = 26 + 0 -69 + 5B = 26 Add '69' to each side of the equation. -69 + 69 + 5B = 26 + 69 Combine like terms: -69 + 69 = 0 0 + 5B = 26 + 69 5B = 26 + 69 Combine like terms: 26 + 69 = 95 5B = 95 Divide each side by '5'. B = 19 Simplifying B = 19
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