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Simplifying 10z + -2(z + 4) = 8(z + -2) + 6 Reorder the terms: 10z + -2(4 + z) = 8(z + -2) + 6 10z + (4 * -2 + z * -2) = 8(z + -2) + 6 10z + (-8 + -2z) = 8(z + -2) + 6 Reorder the terms: -8 + 10z + -2z = 8(z + -2) + 6 Combine like terms: 10z + -2z = 8z -8 + 8z = 8(z + -2) + 6 Reorder the terms: -8 + 8z = 8(-2 + z) + 6 -8 + 8z = (-2 * 8 + z * 8) + 6 -8 + 8z = (-16 + 8z) + 6 Reorder the terms: -8 + 8z = -16 + 6 + 8z Combine like terms: -16 + 6 = -10 -8 + 8z = -10 + 8z Add '-8z' to each side of the equation. -8 + 8z + -8z = -10 + 8z + -8z Combine like terms: 8z + -8z = 0 -8 + 0 = -10 + 8z + -8z -8 = -10 + 8z + -8z Combine like terms: 8z + -8z = 0 -8 = -10 + 0 -8 = -10 Solving -8 = -10 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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