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Simplifying 3(5 + -6z) = -14z + -2(1 + 2z) + 2 (5 * 3 + -6z * 3) = -14z + -2(1 + 2z) + 2 (15 + -18z) = -14z + -2(1 + 2z) + 2 15 + -18z = -14z + (1 * -2 + 2z * -2) + 2 15 + -18z = -14z + (-2 + -4z) + 2 Reorder the terms: 15 + -18z = -2 + 2 + -14z + -4z Combine like terms: -2 + 2 = 0 15 + -18z = 0 + -14z + -4z 15 + -18z = -14z + -4z Combine like terms: -14z + -4z = -18z 15 + -18z = -18z Add '18z' to each side of the equation. 15 + -18z + 18z = -18z + 18z Combine like terms: -18z + 18z = 0 15 + 0 = -18z + 18z 15 = -18z + 18z Combine like terms: -18z + 18z = 0 15 = 0 Solving 15 = 0 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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