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Simplifying 5(3b * 2 + -2b) + 10b * 2 + -1 = 0 Reorder the terms for easier multiplication: 5(3 * 2b + -2b) + 10b * 2 + -1 = 0 Multiply 3 * 2 5(6b + -2b) + 10b * 2 + -1 = 0 Combine like terms: 6b + -2b = 4b 5(4b) + 10b * 2 + -1 = 0 Remove parenthesis around (4b) 5 * 4b + 10b * 2 + -1 = 0 Multiply 5 * 4 20b + 10b * 2 + -1 = 0 Reorder the terms for easier multiplication: 20b + 10 * 2b + -1 = 0 Multiply 10 * 2 20b + 20b + -1 = 0 Reorder the terms: -1 + 20b + 20b = 0 Combine like terms: 20b + 20b = 40b -1 + 40b = 0 Solving -1 + 40b = 0 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 + 40b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 40b = 0 + 1 40b = 0 + 1 Combine like terms: 0 + 1 = 1 40b = 1 Divide each side by '40'. b = 0.025 Simplifying b = 0.025
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