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Simplifying 7z + -12 + 18z + 8 = 4 + -4(5 + -6z) + z Reorder the terms: -12 + 8 + 7z + 18z = 4 + -4(5 + -6z) + z Combine like terms: -12 + 8 = -4 -4 + 7z + 18z = 4 + -4(5 + -6z) + z Combine like terms: 7z + 18z = 25z -4 + 25z = 4 + -4(5 + -6z) + z -4 + 25z = 4 + (5 * -4 + -6z * -4) + z -4 + 25z = 4 + (-20 + 24z) + z Combine like terms: 4 + -20 = -16 -4 + 25z = -16 + 24z + z Combine like terms: 24z + z = 25z -4 + 25z = -16 + 25z Add '-25z' to each side of the equation. -4 + 25z + -25z = -16 + 25z + -25z Combine like terms: 25z + -25z = 0 -4 + 0 = -16 + 25z + -25z -4 = -16 + 25z + -25z Combine like terms: 25z + -25z = 0 -4 = -16 + 0 -4 = -16 Solving -4 = -16 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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