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Simplifying 2(3b + -1) = -3(4b + -3) Reorder the terms: 2(-1 + 3b) = -3(4b + -3) (-1 * 2 + 3b * 2) = -3(4b + -3) (-2 + 6b) = -3(4b + -3) Reorder the terms: -2 + 6b = -3(-3 + 4b) -2 + 6b = (-3 * -3 + 4b * -3) -2 + 6b = (9 + -12b) Solving -2 + 6b = 9 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -2 + 6b + 12b = 9 + -12b + 12b Combine like terms: 6b + 12b = 18b -2 + 18b = 9 + -12b + 12b Combine like terms: -12b + 12b = 0 -2 + 18b = 9 + 0 -2 + 18b = 9 Add '2' to each side of the equation. -2 + 2 + 18b = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 18b = 9 + 2 18b = 9 + 2 Combine like terms: 9 + 2 = 11 18b = 11 Divide each side by '18'. b = 0.6111111111 Simplifying b = 0.6111111111
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