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Simplifying 6(3b + -4) + 8(2b + 5) = 140 Reorder the terms: 6(-4 + 3b) + 8(2b + 5) = 140 (-4 * 6 + 3b * 6) + 8(2b + 5) = 140 (-24 + 18b) + 8(2b + 5) = 140 Reorder the terms: -24 + 18b + 8(5 + 2b) = 140 -24 + 18b + (5 * 8 + 2b * 8) = 140 -24 + 18b + (40 + 16b) = 140 Reorder the terms: -24 + 40 + 18b + 16b = 140 Combine like terms: -24 + 40 = 16 16 + 18b + 16b = 140 Combine like terms: 18b + 16b = 34b 16 + 34b = 140 Solving 16 + 34b = 140 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 34b = 140 + -16 Combine like terms: 16 + -16 = 0 0 + 34b = 140 + -16 34b = 140 + -16 Combine like terms: 140 + -16 = 124 34b = 124 Divide each side by '34'. b = 3.647058824 Simplifying b = 3.647058824
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