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Simplifying 4(3z + -1) + -5(z + 5) = 7(z + 1) Reorder the terms: 4(-1 + 3z) + -5(z + 5) = 7(z + 1) (-1 * 4 + 3z * 4) + -5(z + 5) = 7(z + 1) (-4 + 12z) + -5(z + 5) = 7(z + 1) Reorder the terms: -4 + 12z + -5(5 + z) = 7(z + 1) -4 + 12z + (5 * -5 + z * -5) = 7(z + 1) -4 + 12z + (-25 + -5z) = 7(z + 1) Reorder the terms: -4 + -25 + 12z + -5z = 7(z + 1) Combine like terms: -4 + -25 = -29 -29 + 12z + -5z = 7(z + 1) Combine like terms: 12z + -5z = 7z -29 + 7z = 7(z + 1) Reorder the terms: -29 + 7z = 7(1 + z) -29 + 7z = (1 * 7 + z * 7) -29 + 7z = (7 + 7z) Add '-7z' to each side of the equation. -29 + 7z + -7z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -29 + 0 = 7 + 7z + -7z -29 = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -29 = 7 + 0 -29 = 7 Solving -29 = 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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