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Simplifying 13z + -8(z + 1) = 2(z + -3) + 3z Reorder the terms: 13z + -8(1 + z) = 2(z + -3) + 3z 13z + (1 * -8 + z * -8) = 2(z + -3) + 3z 13z + (-8 + -8z) = 2(z + -3) + 3z Reorder the terms: -8 + 13z + -8z = 2(z + -3) + 3z Combine like terms: 13z + -8z = 5z -8 + 5z = 2(z + -3) + 3z Reorder the terms: -8 + 5z = 2(-3 + z) + 3z -8 + 5z = (-3 * 2 + z * 2) + 3z -8 + 5z = (-6 + 2z) + 3z Combine like terms: 2z + 3z = 5z -8 + 5z = -6 + 5z Add '-5z' to each side of the equation. -8 + 5z + -5z = -6 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 + 0 = -6 + 5z + -5z -8 = -6 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 = -6 + 0 -8 = -6 Solving -8 = -6 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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