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Simplifying 3(2b + 8) + -5(2b + 4) = 43 Reorder the terms: 3(8 + 2b) + -5(2b + 4) = 43 (8 * 3 + 2b * 3) + -5(2b + 4) = 43 (24 + 6b) + -5(2b + 4) = 43 Reorder the terms: 24 + 6b + -5(4 + 2b) = 43 24 + 6b + (4 * -5 + 2b * -5) = 43 24 + 6b + (-20 + -10b) = 43 Reorder the terms: 24 + -20 + 6b + -10b = 43 Combine like terms: 24 + -20 = 4 4 + 6b + -10b = 43 Combine like terms: 6b + -10b = -4b 4 + -4b = 43 Solving 4 + -4b = 43 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -4b = 43 + -4 Combine like terms: 4 + -4 = 0 0 + -4b = 43 + -4 -4b = 43 + -4 Combine like terms: 43 + -4 = 39 -4b = 39 Divide each side by '-4'. b = -9.75 Simplifying b = -9.75
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