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Simplifying 4(2z + 3) = 2(4z + -6) + 11 Reorder the terms: 4(3 + 2z) = 2(4z + -6) + 11 (3 * 4 + 2z * 4) = 2(4z + -6) + 11 (12 + 8z) = 2(4z + -6) + 11 Reorder the terms: 12 + 8z = 2(-6 + 4z) + 11 12 + 8z = (-6 * 2 + 4z * 2) + 11 12 + 8z = (-12 + 8z) + 11 Reorder the terms: 12 + 8z = -12 + 11 + 8z Combine like terms: -12 + 11 = -1 12 + 8z = -1 + 8z Add '-8z' to each side of the equation. 12 + 8z + -8z = -1 + 8z + -8z Combine like terms: 8z + -8z = 0 12 + 0 = -1 + 8z + -8z 12 = -1 + 8z + -8z Combine like terms: 8z + -8z = 0 12 = -1 + 0 12 = -1 Solving 12 = -1 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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