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Simplifying -1z(2 + 9) + (4z + 1) = -7(z + 1) Combine like terms: 2 + 9 = 11 -1z(11) + (4z + 1) = -7(z + 1) Reorder the terms for easier multiplication: -1 * 11z + (4z + 1) = -7(z + 1) Multiply -1 * 11 -11z + (4z + 1) = -7(z + 1) Reorder the terms: -11z + (1 + 4z) = -7(z + 1) Remove parenthesis around (1 + 4z) -11z + 1 + 4z = -7(z + 1) Reorder the terms: 1 + -11z + 4z = -7(z + 1) Combine like terms: -11z + 4z = -7z 1 + -7z = -7(z + 1) Reorder the terms: 1 + -7z = -7(1 + z) 1 + -7z = (1 * -7 + z * -7) 1 + -7z = (-7 + -7z) Add '7z' to each side of the equation. 1 + -7z + 7z = -7 + -7z + 7z Combine like terms: -7z + 7z = 0 1 + 0 = -7 + -7z + 7z 1 = -7 + -7z + 7z Combine like terms: -7z + 7z = 0 1 = -7 + 0 1 = -7 Solving 1 = -7 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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