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Simplifying -10(10b + 10) + 5(b + 2) = 0 Reorder the terms: -10(10 + 10b) + 5(b + 2) = 0 (10 * -10 + 10b * -10) + 5(b + 2) = 0 (-100 + -100b) + 5(b + 2) = 0 Reorder the terms: -100 + -100b + 5(2 + b) = 0 -100 + -100b + (2 * 5 + b * 5) = 0 -100 + -100b + (10 + 5b) = 0 Reorder the terms: -100 + 10 + -100b + 5b = 0 Combine like terms: -100 + 10 = -90 -90 + -100b + 5b = 0 Combine like terms: -100b + 5b = -95b -90 + -95b = 0 Solving -90 + -95b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -95b = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -95b = 0 + 90 -95b = 0 + 90 Combine like terms: 0 + 90 = 90 -95b = 90 Divide each side by '-95'. b = -0.9473684211 Simplifying b = -0.9473684211
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