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Simplifying 3(4b + -2) + -1(6b + -5) = 5 + -1(4b + 3) Reorder the terms: 3(-2 + 4b) + -1(6b + -5) = 5 + -1(4b + 3) (-2 * 3 + 4b * 3) + -1(6b + -5) = 5 + -1(4b + 3) (-6 + 12b) + -1(6b + -5) = 5 + -1(4b + 3) Reorder the terms: -6 + 12b + -1(-5 + 6b) = 5 + -1(4b + 3) -6 + 12b + (-5 * -1 + 6b * -1) = 5 + -1(4b + 3) -6 + 12b + (5 + -6b) = 5 + -1(4b + 3) Reorder the terms: -6 + 5 + 12b + -6b = 5 + -1(4b + 3) Combine like terms: -6 + 5 = -1 -1 + 12b + -6b = 5 + -1(4b + 3) Combine like terms: 12b + -6b = 6b -1 + 6b = 5 + -1(4b + 3) Reorder the terms: -1 + 6b = 5 + -1(3 + 4b) -1 + 6b = 5 + (3 * -1 + 4b * -1) -1 + 6b = 5 + (-3 + -4b) Combine like terms: 5 + -3 = 2 -1 + 6b = 2 + -4b Solving -1 + 6b = 2 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -1 + 6b + 4b = 2 + -4b + 4b Combine like terms: 6b + 4b = 10b -1 + 10b = 2 + -4b + 4b Combine like terms: -4b + 4b = 0 -1 + 10b = 2 + 0 -1 + 10b = 2 Add '1' to each side of the equation. -1 + 1 + 10b = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 10b = 2 + 1 10b = 2 + 1 Combine like terms: 2 + 1 = 3 10b = 3 Divide each side by '10'. b = 0.3 Simplifying b = 0.3
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