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Simplifying 3(z + 7) + -4z = -1(z + -2) Reorder the terms: 3(7 + z) + -4z = -1(z + -2) (7 * 3 + z * 3) + -4z = -1(z + -2) (21 + 3z) + -4z = -1(z + -2) Combine like terms: 3z + -4z = -1z 21 + -1z = -1(z + -2) Reorder the terms: 21 + -1z = -1(-2 + z) 21 + -1z = (-2 * -1 + z * -1) 21 + -1z = (2 + -1z) Add 'z' to each side of the equation. 21 + -1z + z = 2 + -1z + z Combine like terms: -1z + z = 0 21 + 0 = 2 + -1z + z 21 = 2 + -1z + z Combine like terms: -1z + z = 0 21 = 2 + 0 21 = 2 Solving 21 = 2 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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