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Simplifying -2(4 + -3z) + -7 = 6(z + 1) (4 * -2 + -3z * -2) + -7 = 6(z + 1) (-8 + 6z) + -7 = 6(z + 1) Reorder the terms: -8 + -7 + 6z = 6(z + 1) Combine like terms: -8 + -7 = -15 -15 + 6z = 6(z + 1) Reorder the terms: -15 + 6z = 6(1 + z) -15 + 6z = (1 * 6 + z * 6) -15 + 6z = (6 + 6z) Add '-6z' to each side of the equation. -15 + 6z + -6z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -15 + 0 = 6 + 6z + -6z -15 = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -15 = 6 + 0 -15 = 6 Solving -15 = 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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