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Simplifying -4(b + -6) + 5(4b + -5) = 47 Reorder the terms: -4(-6 + b) + 5(4b + -5) = 47 (-6 * -4 + b * -4) + 5(4b + -5) = 47 (24 + -4b) + 5(4b + -5) = 47 Reorder the terms: 24 + -4b + 5(-5 + 4b) = 47 24 + -4b + (-5 * 5 + 4b * 5) = 47 24 + -4b + (-25 + 20b) = 47 Reorder the terms: 24 + -25 + -4b + 20b = 47 Combine like terms: 24 + -25 = -1 -1 + -4b + 20b = 47 Combine like terms: -4b + 20b = 16b -1 + 16b = 47 Solving -1 + 16b = 47 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 16b = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 16b = 47 + 1 16b = 47 + 1 Combine like terms: 47 + 1 = 48 16b = 48 Divide each side by '16'. b = 3 Simplifying b = 3
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