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Simplifying 5(2b) + -3(4b + 1) = 0 Remove parenthesis around (2b) 5 * 2b + -3(4b + 1) = 0 Multiply 5 * 2 10b + -3(4b + 1) = 0 Reorder the terms: 10b + -3(1 + 4b) = 0 10b + (1 * -3 + 4b * -3) = 0 10b + (-3 + -12b) = 0 Reorder the terms: -3 + 10b + -12b = 0 Combine like terms: 10b + -12b = -2b -3 + -2b = 0 Solving -3 + -2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2b = 0 + 3 -2b = 0 + 3 Combine like terms: 0 + 3 = 3 -2b = 3 Divide each side by '-2'. b = -1.5 Simplifying b = -1.5
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