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Simplifying 4(2b + -3) + -2(3b + -1) = 0 Reorder the terms: 4(-3 + 2b) + -2(3b + -1) = 0 (-3 * 4 + 2b * 4) + -2(3b + -1) = 0 (-12 + 8b) + -2(3b + -1) = 0 Reorder the terms: -12 + 8b + -2(-1 + 3b) = 0 -12 + 8b + (-1 * -2 + 3b * -2) = 0 -12 + 8b + (2 + -6b) = 0 Reorder the terms: -12 + 2 + 8b + -6b = 0 Combine like terms: -12 + 2 = -10 -10 + 8b + -6b = 0 Combine like terms: 8b + -6b = 2b -10 + 2b = 0 Solving -10 + 2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2b = 0 + 10 2b = 0 + 10 Combine like terms: 0 + 10 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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