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Simplifying 3(-4b + -1) + 4(5 + -7b) = 0 Reorder the terms: 3(-1 + -4b) + 4(5 + -7b) = 0 (-1 * 3 + -4b * 3) + 4(5 + -7b) = 0 (-3 + -12b) + 4(5 + -7b) = 0 -3 + -12b + (5 * 4 + -7b * 4) = 0 -3 + -12b + (20 + -28b) = 0 Reorder the terms: -3 + 20 + -12b + -28b = 0 Combine like terms: -3 + 20 = 17 17 + -12b + -28b = 0 Combine like terms: -12b + -28b = -40b 17 + -40b = 0 Solving 17 + -40b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -40b = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -40b = 0 + -17 -40b = 0 + -17 Combine like terms: 0 + -17 = -17 -40b = -17 Divide each side by '-40'. b = 0.425 Simplifying b = 0.425
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