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Simplifying -5(7 + -4b) + 6(4b + -7) = 0 (7 * -5 + -4b * -5) + 6(4b + -7) = 0 (-35 + 20b) + 6(4b + -7) = 0 Reorder the terms: -35 + 20b + 6(-7 + 4b) = 0 -35 + 20b + (-7 * 6 + 4b * 6) = 0 -35 + 20b + (-42 + 24b) = 0 Reorder the terms: -35 + -42 + 20b + 24b = 0 Combine like terms: -35 + -42 = -77 -77 + 20b + 24b = 0 Combine like terms: 20b + 24b = 44b -77 + 44b = 0 Solving -77 + 44b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 44b = 0 + 77 Combine like terms: -77 + 77 = 0 0 + 44b = 0 + 77 44b = 0 + 77 Combine like terms: 0 + 77 = 77 44b = 77 Divide each side by '44'. b = 1.75 Simplifying b = 1.75
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