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Simplifying 2[4 + -1(3b + 2)] = 5 + -2(3b + 6) Reorder the terms: 2[4 + -1(2 + 3b)] = 5 + -2(3b + 6) 2[4 + (2 * -1 + 3b * -1)] = 5 + -2(3b + 6) 2[4 + (-2 + -3b)] = 5 + -2(3b + 6) Combine like terms: 4 + -2 = 2 2[2 + -3b] = 5 + -2(3b + 6) [2 * 2 + -3b * 2] = 5 + -2(3b + 6) [4 + -6b] = 5 + -2(3b + 6) Reorder the terms: 4 + -6b = 5 + -2(6 + 3b) 4 + -6b = 5 + (6 * -2 + 3b * -2) 4 + -6b = 5 + (-12 + -6b) Combine like terms: 5 + -12 = -7 4 + -6b = -7 + -6b Add '6b' to each side of the equation. 4 + -6b + 6b = -7 + -6b + 6b Combine like terms: -6b + 6b = 0 4 + 0 = -7 + -6b + 6b 4 = -7 + -6b + 6b Combine like terms: -6b + 6b = 0 4 = -7 + 0 4 = -7 Solving 4 = -7 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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