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Simplifying -1(z + 5) + (4z + 1) = 3(z + 1) Reorder the terms: -1(5 + z) + (4z + 1) = 3(z + 1) (5 * -1 + z * -1) + (4z + 1) = 3(z + 1) (-5 + -1z) + (4z + 1) = 3(z + 1) Reorder the terms: -5 + -1z + (1 + 4z) = 3(z + 1) Remove parenthesis around (1 + 4z) -5 + -1z + 1 + 4z = 3(z + 1) Reorder the terms: -5 + 1 + -1z + 4z = 3(z + 1) Combine like terms: -5 + 1 = -4 -4 + -1z + 4z = 3(z + 1) Combine like terms: -1z + 4z = 3z -4 + 3z = 3(z + 1) Reorder the terms: -4 + 3z = 3(1 + z) -4 + 3z = (1 * 3 + z * 3) -4 + 3z = (3 + 3z) Add '-3z' to each side of the equation. -4 + 3z + -3z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + 0 = 3 + 3z + -3z -4 = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 = 3 + 0 -4 = 3 Solving -4 = 3 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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