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Simplifying 5(b + -6) = 3 + 4(d + 5) Reorder the terms: 5(-6 + b) = 3 + 4(d + 5) (-6 * 5 + b * 5) = 3 + 4(d + 5) (-30 + 5b) = 3 + 4(d + 5) Reorder the terms: -30 + 5b = 3 + 4(5 + d) -30 + 5b = 3 + (5 * 4 + d * 4) -30 + 5b = 3 + (20 + 4d) Combine like terms: 3 + 20 = 23 -30 + 5b = 23 + 4d Solving -30 + 5b = 23 + 4d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5b = 23 + 30 + 4d Combine like terms: -30 + 30 = 0 0 + 5b = 23 + 30 + 4d 5b = 23 + 30 + 4d Combine like terms: 23 + 30 = 53 5b = 53 + 4d Divide each side by '5'. b = 10.6 + 0.8d Simplifying b = 10.6 + 0.8d
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