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Simplifying -3(10b + 10) + 5(b + 2) = 0 Reorder the terms: -3(10 + 10b) + 5(b + 2) = 0 (10 * -3 + 10b * -3) + 5(b + 2) = 0 (-30 + -30b) + 5(b + 2) = 0 Reorder the terms: -30 + -30b + 5(2 + b) = 0 -30 + -30b + (2 * 5 + b * 5) = 0 -30 + -30b + (10 + 5b) = 0 Reorder the terms: -30 + 10 + -30b + 5b = 0 Combine like terms: -30 + 10 = -20 -20 + -30b + 5b = 0 Combine like terms: -30b + 5b = -25b -20 + -25b = 0 Solving -20 + -25b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -25b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -25b = 0 + 20 -25b = 0 + 20 Combine like terms: 0 + 20 = 20 -25b = 20 Divide each side by '-25'. b = -0.8 Simplifying b = -0.8
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