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Simplifying 2(-3b + 5) + -12 = 9b + -3(5b + 4) Reorder the terms: 2(5 + -3b) + -12 = 9b + -3(5b + 4) (5 * 2 + -3b * 2) + -12 = 9b + -3(5b + 4) (10 + -6b) + -12 = 9b + -3(5b + 4) Reorder the terms: 10 + -12 + -6b = 9b + -3(5b + 4) Combine like terms: 10 + -12 = -2 -2 + -6b = 9b + -3(5b + 4) Reorder the terms: -2 + -6b = 9b + -3(4 + 5b) -2 + -6b = 9b + (4 * -3 + 5b * -3) -2 + -6b = 9b + (-12 + -15b) Reorder the terms: -2 + -6b = -12 + 9b + -15b Combine like terms: 9b + -15b = -6b -2 + -6b = -12 + -6b Add '6b' to each side of the equation. -2 + -6b + 6b = -12 + -6b + 6b Combine like terms: -6b + 6b = 0 -2 + 0 = -12 + -6b + 6b -2 = -12 + -6b + 6b Combine like terms: -6b + 6b = 0 -2 = -12 + 0 -2 = -12 Solving -2 = -12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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